Question

Which of the following algebraic expressions explain the following

$\frac{1}{2}$ + $\frac{1}{3}$ = $\frac{5}{6}$

• A. $\frac{1}{a}$ = $\frac{b}{ab}$ and $\frac{1}{b}$ = $\frac{a}{ab}$
• B. $\frac{b+a}{ab}$
• C. $\frac{ba+2a}{ab}$
• D. $\frac{2b+a}{ab}$

Answer 1

The correct option is B

$\frac{b+a}{ab}$

Given that $\frac{1}{2}$ + $\frac{1}{3}$ = $\frac{5}{6}$

Consider two fractions $\frac{1}{a}$ and $\frac{1}{b}$

In order to add the fractions , we need to make the denominator the same

Hence we have $\frac{1}{a}$ = $\frac{b}{ab}$

$\frac{1}{b}$ = $\frac{a}{ab}$

Hence $\frac{1}{a}$ + $\frac{1}{b}$ = $\frac{b}{ab}$ + $\frac{a}{ab}$

= $\frac{b+a}{ab}$

We can see that $\frac{1}{2}$ + $\frac{1}{3}$ = $\frac{2+3}{6}$ = $\frac{5}{6}$