Question

In Exercises 1-4 find each sum or difference. 1/2+3/4= 1/6+3/8= 7/8-5/12=

Answer 1

1. L.C.M of the denominators is 4.

So, multiply the numerator and the denominator of the first fraction by 2.

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

`=(5)/(4)`

Hence,
`(1)/(2) +(3)/(4) =(5)/(4)`.

2. L.C.M of the denominators is 24.

So, multiply the numerator and the denominator of the first fraction by 4 and those of the second fraction by 3.

`(1)/(6) +(3)/(8) =(4)/(24) +(9)/(24)`

`=(13)/(24)`

Hence,
`(1)/(6) +(3)/(8) =(13)/(24)`.

3. L.C.M of the denominators is 24.

So, multiply the numerator and the denominator of the first fraction by 3 and those of the second fraction by 2.

`(7)/(8)- (5)/(12) =(21)/(24) -(10)/(24)`

`=(11)/(24)`

Hence,
`(7)/(8) -(5)/(12) =(11)/(24)`.