What's the answer to 1/2b-3/4-5/16?

Question

Simplify the expression

Answer 1

1/2b-3/4-5/16

rewrite the fractions with common denominator

find least common multiple
multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32 , 36, 40, 44, 48 ,52, 56 ,60
multiples of 15 = 15, 30 ,45 ,60
Least common denominator is 60

=1/2b - 45/60-20/60

=1/2b - (45+20)/60

=12/b - 65/60

Comments

Procedure is correct , but the last fraction 5/16 you considered as 5/15.

Answer 2

 

 

Find the LCM for 2, 4 and 16.

multiples of 2 = 2, 4, 8, 10, 12, 14, 16, 18, 20, 22, 24,...

multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32,...

multiples of 16 = 16, 32, 48, 64,...

Least common denominator is 16.

 

Rewrite the fractions with common denominator

=8b/16 - 12/16 - 5/16.

=8b/16- (12 + 5)/16.

=8b/16 - 17/16.

=(8b - 17) / 16.