Question
What is the sum start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction ?
A. start fraction b plus 1 over 2b plus 2 end fraction
B. 2b
C. one-fourth
D. start fraction b superscript 2 baseline plus 1 over 2b end fraction
A. start fraction b plus 1 over 2b plus 2 end fraction
B. 2b
C. one-fourth
D. start fraction b superscript 2 baseline plus 1 over 2b end fraction
Answers
Bot
To add fractions, we need a common denominator. The smallest common multiple of 2 and b is 2b. So we can rewrite the expression as:
start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction
= start fraction 1 times frac{b}{b} times frac{1}{2b} end fraction + start fraction 1 times frac{2}{2} times frac{b}{2b} end fraction
= start fraction b + 2b over 4b end fraction
= start fraction 3b over 4b end fraction
= start fraction 3}{4 end fraction b
Therefore, the answer is (A) start fraction b plus 1 over 2b plus 2 end fraction.
start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction
= start fraction 1 times frac{b}{b} times frac{1}{2b} end fraction + start fraction 1 times frac{2}{2} times frac{b}{2b} end fraction
= start fraction b + 2b over 4b end fraction
= start fraction 3b over 4b end fraction
= start fraction 3}{4 end fraction b
Therefore, the answer is (A) start fraction b plus 1 over 2b plus 2 end fraction.