Question

Express the ratio 42: 49 in its simplest form.

• A. 5 : 6
• B. 6 : 7
• C. 3 : 4
• D. 7 : 8

Answer 1

The correct option is B 6 : 7

In the simplest form, the numerator and denominator have no common factors other than 1.

We know, 42 = $6\times 7$ and
49 = $7\times 7$

We can write 42 : 49 as $\frac{42}{49}$
$\therefore$ $\frac{42}{49}$ = $\frac{(6\times 7)}{(7\times 7)}$
$\Rightarrow$ $\frac{6}{7}=6:7$