Question

1. Simplify:
a. (2/3)+(1/7)-(1/8)
b. 1-(5/6)
c. (1/2)+(1/4)-(3/4)
d. (23/46)-(1/4)
e. (3/5)+(6/2)-(2/5)​

Answer 1

Ans a= (2/3)+(1/7)-(1/8)

LCM of denominator 3,7 and 8 =168

(2/3)+(1/7)-(1/8)

(112+24-21)/168

115/168

hence the answer is 115/168

Ans b=1-(5/6)

LCM of 6 is 6

1-(5/6)/6

(6-5)/6

=1/6 hence the answer is 1/6

Ans c= (1/2)+(1/4)-(3/4)

LCM of denominator 2,4 and 4 is 4

(1/2)+(1/4)-(3/4)

(2+1-3)/4

0/4

=0

hence 0 is the answer

Ans d=(23/46)-(1/4)

23/46=1/2

(1/2)-(1/4)

LCM of denominator 2 and 4 is 4

(1/2)-(1/4)

(2-1)/4

1/4

hence 1/4 is the answer

Ans e=(3/5)+(6/2)-(2/5)

6/2=3

(3/5)+(3/1)-(2/5)

LCM of denominator 5 and 1 is 5

(3/5)+(3/1)-(2/5)

(3+15-2)/5

16/5

hence the answer is 16/5