Question

Which of the following holds true?

• A. $\frac{3}{5}$ $÷$ $\frac{7}{5}$ = $\frac{7}{5}$ $÷$$\frac{3}{5}$
• B. $\frac{3}{5}$ + $\frac{7}{5}$ = $\frac{7}{5}$ + $\frac{3}{5}$
• C. $\frac{3}{5}$ - $\frac{7}{5}$ = $\frac{7}{5}$ - $\frac{3}{5}$
• D. $\frac{3}{5}$ - $\frac{7}{5}$ = $\frac{7}{5}$ $÷$ $\frac{3}{5}$

Answer 1

The correct option is B

$\frac{3}{5}$ + $\frac{7}{5}$ = $\frac{7}{5}$ + $\frac{3}{5}$

We know commutative law of addition of rational numbers as a + b = b + a. The example, $\frac{3}{5}$ + $\frac{7}{5}$ = $\frac{7}{5}$ + $\frac{3}{5}$ satisfies the required law. For the remaining examples not a single law is applicable, so they do not hold true.