In this video the instructor shows how to simplify a complex fraction. A complex fraction is a fraction that has fractions in both the numerator and the denominator of the original fraction. Complex fractions can look intimidating but are generally simple to solve, as shown in this video. A fraction is nothing but a division of its numerator and its denominator. So in a complex fraction basically you are dividing two fractions. Now you can turn this division into multiplication by multiplying...
In this tutorial the instructor shows how to solve equations with fractions and decimals. When you have a fraction first try to simplify it by canceling out the common factors in the numerator and the denominator. If there are any decimals convert them into fractions. Now if you have a number multiplying a equation apply distributive law and simplify the equation. Now finally try to get the variables on one side and numerical terms on the other side of the equation and finally solve for the u...
In this video the instructor talks about parallel and perpendicular lines. Parallel lines are lines whose slope is the same. Now take the equations of a couple of parallel lines. Graph those lines on a coordinate axes and you can see that the lines are parallel to each other and never intersect each other. Perpendicular lines are those whose product of slopes is negative one. Perpendicular lines intersect each other and they make a perfect 90 degrees with each other at the point of intersecti...
This video discusses the number zero in division. When dividing numbers, there are ways to check your math, like multiplying the two numbers. When you multiply zero with any other number, it still is zero. The video goes on to discuss indeterminate answers. If you were to divide a zero by a zero, your calculator would come up with an error message. But there are real results to these odd equations and they are indeterminate. The indeterminate doesn’t really show up in everyday living, but in ...
Video Nerd thinks that when your doing long division with decimals you should first take out the decimal. Write the number as if it didn't have a decimal. For example if the problem was 12.5 divided by 5 then you will just use 125 and divide that by 5. Next divide the first digit of the dividend by the divisor an write the number up top. Next you multiply, after your done multiplying the numbers subtract, and when your done subtracting the numbers drop the reaming numbers in the dividend down...
In this tutorial the instructor shows how to simplify complex fractions. A complex fraction is the same as a normal fraction, but has a fraction problem in the numerator and a fraction problem in the denominator. The first thing to do is arrive at a simple fraction both in the numerator and the denominator. To do this take the lcm of the denominators of the fractions in the numerator and simplify it. Similarly do this in the denominator. Now both the numerator and the denominator have a simpl...
In this video the instructor shows how to derive a general equation for a line in Point-Slope form. The slope of an equation is the ratio of difference of y coordinates to the difference of x coordinates. In other words, slope is the change of y up on change of x. So you have the basic slope equation m = (y2 - y1)/(x2 - x1). When you have fractions you can simplify them by multiplying the denominator to the numerator on both sides. So multiply the equation by (x2-x1) on both sides. This gives...
To simplify a complex fraction, turn it into one fraction on the top divided into a fraction on the bottom. Once this is complete, you will turn the division into the two into a multiple by the reciprocal, factor, and then cancel. To make a division, find the lowest common denominator of both the top and the bottom. Once you get this division equation, look carefully at the equations. If something can be easily canceled, go ahead and cancel it out at this time. If you cannot cancel anything a...
This is the video about how to add a rational expression. So to add a rational expression first of all find the common denominator. To find the common denominator, just find the least common multiple (LCM) of the denominators. There are at least a couple ways of doing this. To convert each fraction to the common denominator, you multiply each denominator by what it needs in order to turn it into 6x. For instance, in the x+4/5x, the denominator needs to be multiplied by 6x, since 6xX5x = 30x. ...
Learn how to balance the three different types of chemical equations in simple steps. First take an equation, write down its reactants and products and write down the names of all elements. Now write down how many of each element are present in the equation. Now check which element does not match, in this case the Oxygen doesn't match. Now multiply the element or compound starting at two but now hydrogen doesn't match. Try to match them by multiplying the coefficients but now sulfur doesn't m...
Simonc1973 teaches you how to work out the circumference of a circle. You start with a circle and draw a line across the circle. That's called the diameter. You multiply the diameter with Pi, which is 3.141. The video is even more amazing being taught by Harry Chapple, a 4 year old MENSA member, who is a maths child genius. He simply takes the ruler, measures the diameter and then calculates the result of multiplying it by Pi's value. The common value for Pi is 3.14. For very accurate results...
In this video the instructor shows how to divide rational expressions that contain trinomials. A division containing two fractions can always be turned into a multiplication by multiplying the first fraction by the reciprocal of the second fraction. This way any division can be turned into a multiplication problem and solved easily. Now after you convert the division into multiplication factorize the equations. Now you can factorize the equations by splitting the middle term and grouping it i...
In this video tutorial it shows you how to find the x-bar by using the Z-score formula. In the beginning of this video the formula is displayed on the right, while the values that you need to plug in are on the left. Once you plug in the values and do the cross multiplying, all you have to do is get x-bar by itself on one side of the equation. This is a simple problem on using the z-score formula to find x-bar, it can help you solve more complex problems in the future.
In this video the tutor explains about the concept of Equivalent Fractions and how to find them. She states that equivalent fractions are fractions with same value. She explains this with an example saying that a fraction can have many forms in their unreduced states and all these fractions will have the same value which can be obtained by reducing them. She shows that we can make an equivalent fraction of any fraction by multiplying the numerator and the denominator by the same number and go...
In this simple tutorial the tutor shows how to solve equation by the distributive property. He states that when there is a number which is multiplied to a full equation, we have to multiply each and every term of that equation by that multiplying number. This is called the distributive property as the value is distributed to each and every term inside the equation. He goes on and solves a problem based on this property to give a clear idea of the property. This video shows how to solve equati...
This video shows you how to easily convert fractions to percents. You can convert fractions to percents in 2 easy steps. The first step is multiplying the fraction by 100 (e.g.. your fraction is 3/5; 3/5 x 100 = 3/5 x 100/1 = 300/5). The second step is reducing the fraction, when possible (e.g.. 3/5 x 100/1 = 300/5 = 60). Don't forget to add the percent sign (%)(you obtained 60%). That's it! Good Luck!
This video will show you the simple mathematical concept of solving a single-step equation using multiplication. This is very useful for equations in which you need to solve for a variable and the variable is a part of a fraction. The example provided in the video shows a very fast and simple way to solve these types of problems. By multiplying your fraction by the denominator of the fraction, you will cancel out the fraction and multiply the other side by the same number. By following these ...
A short video teaching you how to compare fractions. Starting with two fraction like three fourths and two over twelve. You cross multiply the denominator or the bottom number of three fourths which is 4 with the numerator or the top number of the second fraction which is 2. So the 8 that you come up with goes under the two twelfths. Now you do the same for the two fraction this time multiplying the denominator 12 with the numerator 3 coming up with 36. So now you have 36 under three fourths ...
This is how to calculate the area of a rhombus. A rhombus is a quadrilateral shape in which all sides are congruent. A rhombus has two sets of parallel lines, the diagonals of which form 90-degree angles at the point they meet. Also the angles opposite to one another are congruent. The area of a rhombus can be gotten by multiplying both the diagonals and then dividing the total by 2. Say one of the diagonals is 10 and the other is 12, the area will be 10 x 12 = 120/2 = 60. That is how to calc...
Have a hard time figuring out what a geometric sequence is? This video will help you to identify different geometric sequences as well as determining its nth term. A geometric sequence is a group of numbers that follow a certain pattern of multiplying a fixed number from one term to another. The tutorial uses 4 different examples of geometric sequences and also shows you how to solve each of these sequences as well. Take some time to watch this video if you are a pre-algebra student, it is a ...
Learn to divide fractions using the inverse with this video. It is an easy way to divide the fractions just by multiplying the two fractions but reversing one of them. For example consider two fractions to be divided, (1/4) and (3/5). Then write the two fractions beside, one in the same way and another in the reverse order like remain (1/4) as it is and reverse (3/5) as (5/3). Then multiply these two terms (1/4) * (5/3) then the solution will be (5/12).
Knowing your BMI, or Body Mass Index, is a great way to see if you are at a healthy weight. In this simple and short video provided by Children's Hospital Boston, you will figure out how to calculate your BMI by taking your weight (in pounds) and multiplying it by the number 703 and then dividing it by your height (in inches) squared.
How do you know if you should lose weight is a question people often ask. For the most part the need for weight loss should be determined by how you feel in your own body. There are some calculations that doctors use to determine if you need to lose weight. One of those calculations is BMI or Body Mass Index. BMI is based upon a fairly difficult equation. BMI is figured by multiplying your weight by 703 then dividing by your height squared. A body mass index over 25 is considered overweight. ...
This video shows us how to use a formula to find the area of a parallelogram. The formula for finding the area of parallelogram is the same as finding the area of rectangle or a square which is equal to length time’s breadth. But the parallelogram looks a bit different and the parallelogram is basically a rectangle but it is not at right angles. If you draw two altitudes then it is a rectangle with two triangles and if you cut one of the triangles and paste it next to another triangle then we...
This tutorial describes the method to calculate the area of a triangle and a parallelogram To calculate the area of a triangle:
This video is about Level 2 atomic concepts, specifically the Pennium Lab. This helps you understand how atomic masses are derived for the periodic table. This teacher demonstrates how to do the calculation. He first reviews the Isotopes as they are different masses of the same type of atoms. He uses chromium as his example. It has a different number of neutrons in the nucleus. Using the equation, it could have either 26, 28, 29 or 30, with its 24 protons. So he subtracts the atomic number fr...
This video shows how to find the area of a circle using a formula. The formula for area of circle is pie multiplied by square of radius. Pie is actually an infinite number but for the sake of convenience we consider the value of pie as 3.14. So we multiply the square of radius with 3.14. Radius is the distance between the center point of the circle to any of the outside arcs. It is actually half of the diameter (diameter is the distance between two arcs of a circle). As an example here the ra...
In this video you can learn how to simplify complex fractions. Look at the example in the illustration. To simplify this complex problem, you would first add the number 1 under the whole number in the denominator, to make it a fraction. Then change it from a division problem by simply inverting (flipping the numbers over) in the second part of the problem. Then multiply the numerators and the denominators across and simplify the problem further, if necessary. To simplify this complex problem,...
Not sure how to balance a chemical equation? According to the rules of chemistry, matter must be conserved in chemical reactions. When you balance a chemical equation, you account for all of the matter in the reaction.
You can't add fractions when the denominators are not the same - it's a rule in math you can't ignore!
Losing weight can be a battle, but why not be realistic about your goals rather than kill yourself striving for a size 0? A happier alternative to the cycle of weight loss and gain is to achieve a weight you and your doctor can both live with. In this tutorial, learn how to calculate your BMI and ways to figure what your "happy weight" is.
All waves in the electromagnetic spectrum (light, x-rays, radio waves, microwaves, etc.) travel at the speed of light c=299,792,458 m/s. For any wave, the wavelength times the frequency yields the speed:
Taking this formula 9x²+y²=9 your instructor shows you how to find the solution for the variable y. Finding a second derivative is no more difficult that finding the first derivative, you only have to do the problem equation through twice. The derivative of 9x² will be 18, of y² will be 2y [this is the same as 2(y), 2 x y or 2 * y]. The problem now goes -18x + 2y dy/dx=0. This equation is solved for dy/dx making the next step in the problem go -18x 18x+2y dy/dx=0-18x, 2y dy/dx= -18x. The next...
Quadrilaterals are four sided shapes that are closed. They are polygons. Quadrilaterals can be classified broadly in two ways. If the quadrilateral has a two pair of parallel sides then it falls in to the parallelogram category. Further now it can be broken down in to other shapes like square, rectangle, rhombus. If it has only one pair of parallel side then it falls into the trapezoid category. To compute the are of a trapezoid first you need to know the lengths of the parallel sides. Add th...
In this video the instructor explains the concepts of rational and irrational numbers. Multiplying a number by itself gives the value of its square. If you apply the square root to that squared number it returns to you the original number. This square root is also called a radical. A square root of a positive number can have two values. For example the square root of 81 is either 9 or -9; this is because when you multiply 9 with itself the square is 81 and even when you multiply -9 with itsel...
Azimuth is simply the angle of an object in the sky along the horizon. Yes, it's spherical trigonometry but it's not difficult! Check out this video and in just a few minutes you will be able to solve azimuth problems on your own.
Continuing our series on building a dynamic user interface for the HoloLens, this guide will show how to rotate the objects that we already created and moved and scaled in previous lessons.
Welcome back! In our last training session, we covered some advanced list topics. We'll be going deeper into the advanced list rabbit hole today with lambda and lambda operators! (And I'm not talking about Gordan Freeman)
Did you know that the YouTube app can tell you how much time you've spent watching videos? If you're like me, you'll be surprised to know exactly how much of your life is spent inside the popular app. You can get a specific breakdown of how much you YouTube you consume.
Researchers at MIT's Computer Science and Artificial Intelligence Laboratory have created Wi-Fi technology that identifies where you are, which may eliminate the need for passwords.
