Question

Write four equivalent ratios for each ratio.

$\frac{6}{7}$

Answer 1

We can get equivalent ratios by multiplying the same number in the numerator and the denominator of the given ratio.

Four equivalent ratios for $\frac{6}{7}$

The first equivalent ratio for $\frac{6}{7}$ $=\frac{6\times 2}{7\times 2}$ $=$$\frac{12}{14}$or $12:14$

The second equivalent ratio for $\frac{6}{7}$ $=\frac{6\times 3}{7\times 3}$ $=$$\frac{18}{21}$or $18:21$

The third equivalent ratio for $\frac{6}{7}$ $=\frac{6\times 4}{7\times 4}$ $=$$\frac{24}{28}$or $24:28$

The fourth equivalent ratio for $\frac{6}{7}$ $=\frac{6\times 5}{7\times 5}$ $=$$\frac{30}{35}$or $30:35$

Hence, four equivalent ratios for $\frac{6}{7}$$=$$\frac{12}{14},\frac{18}{21},\frac{24}{24},\frac{30}{35}$or $12:14,18:21,24:28,30:35$