Question

Compare adding unlike fractions and adding like fractions

Answer 1

Explanation:

If you have a problem like 1 5/21 + 3 42/56 = ?

You have to find a common denominator. So you should of got 1 280/1176 and 3 882/1176. Then you add 1 280/1176 + 3 882/1176 = 4 1162/1176. Then you need to simplify the fraction. When you simplify the fraction you get 83/84. So your answer is 4 83/84.

If you have a common denominator you save your denominator and the numerator change. If you can then simplify it.

Answer 2

We just add numerators and rewrite denominator.

Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

Explanation:

You mean unlike denominators and like denominators.

Adding like dominators: We just add numerators and rewrite denominator :

Example :
`(1)/(4) +(2)/(4)=(1+2)/(4) =(3)/(4)`

Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

For example :

`(1)/(5)+(3)/(4)`

LCM for 5 and 4 is 20 : Now, divide by 5 and multiply by 1 for first fraction. 20 divide by 4 and multiply by 3 :

`(1*4)/(20) +(3*5)/(20)=(4)/(20) +(15)/(20)=(19)/(20)`