Question

Arrange the ratios $(5 : 6), (7 : 10), (13 : 15)$ and $(23 : 30)$ in ascending order.

Accepted Answer

To compare the ratios $(5 : 6), (7 : 10), (13 : 15), (23 : 30)$ , we need to express the ratios in the form of fractions.

We have $5 : 6 = \frac{5}{6}, 7 : 10 = \frac{7}{10}, 13 : 15 = \frac{13}{15}, 23 : 30 = \frac{23}{30}$ .

LCM of $6, 10, 15 and 30 = 30$

In order to compare the given ratios, it is enough if we compare their corresponding fractions. So, we need to multiply the unlike fractions by the $LCM$ of their denominators.

$\frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30}$

$\frac{7}{10} = \frac{7 \times 3}{10 \times 3} = \frac{21}{30}$

$\frac{13}{15} = \frac{13 \times 2}{15 \times 2} = \frac{26}{30}$

$\frac{23}{30} = \frac{23 \times 1}{30 \times 1} = \frac{23}{30}$

So, we have $\frac{21}{30} < \frac{23}{30} < \frac{25}{30} < \frac{26}{30}$ .

$\Rightarrow (7 : 10) < (23 : 30) < (5 : 6) < (13 : 15)$

Hence, the given ratios are arranged in the ascending order.

Arrange the ratios $(5 : 6), (7 : 10), (13 : 15)$ and $(23 : 30)$ in ascending order.

Important Questions on Test Paper - 3

Learn and Prepare for any exam you want !

Arrange the ratios 5:6, 7:10, 13:15 and 23:30 in ascending order.

Important Questions on Test Paper - 3

Learn and Prepare for any exam you want !

Arrange the ratios $(5 : 6), (7 : 10), (13 : 15)$ and $(23 : 30)$ in ascending order.