2 - Group 6 - Addition of Fractions Scripts
- 1. FRACTION Addition of Fraction. Addition of fraction is very easy. We have to remember just one thing. The denominator always must be the same. Now, let’s take a bar of chocolate as our example with five slices. One peace is one over five and two peaces is two over five. Let’s try and add one over five and two over five. It would be three, three over five. So, one over five plus two over five equals three over five. We are just adding the numerators. But the denominators must be the same. Let’s look at one more example quickly. Take a martabak with six slices. One peace is one sixth and three peaces is three sixths. Let’s add the two. We get four sixths. So, that one sixth plus three sixths is equal to one plus three over six which equals four over six. If we reduce four over six, we get two over three. Now let’s do one without pictures. Three over seven plus two over seven. Since the denominators are the same, we can simply add the numerator. Therefore, we have the numerator as three plus two and the denominator remains seven. Hence, the answer is five over seven. Now, let’s try and add two fractions which have different denominators. Let’s add two over three and one over four. We can add the numerator only if the denominators are the same. The LCM of three and four is twelve. So twelve, which is the LCM, is our new denominator. Change the first number, two over three, so that it has twelve as the denominator. Two over three will become two multiplied by four over three multiplied by four which equals eight over twelve. And change the second number, one over four, so that it has twelve as the deniminator. One over four will become one multiplied by three over four multiplied by three which equals three over twelve. Note that we have the same the denominators. We can simply add the numerators. Eight over twelve plus three over twelve equals eleven over twelve. So, the answer is eleven over twelve.