Question

Arrange the following fractions in ascending order: $\frac{13}{18},\frac{8}{15},\frac{17}{24},\frac{7}{12}$

Answer 1

Fractions can be compared by converting them into like fractions and then arranging them in ascending or descending order.
Now,
$\frac{13}{18}=\frac{13\times 20}{18\times 20}=\frac{260}{360}$
$\frac{8}{15}=\frac{8\times 24}{15\times 24}=\frac{192}{360}$
$\frac{17}{24}=\frac{17\times 15}{24\times 15}=\frac{255}{360}$
$\frac{7}{12}=\frac{7\times 30}{12\times 30}=\frac{210}{360}$
We know,
$192<210<255<260$
$\Rightarrow \frac{192}{360}<\frac{210}{360}<\frac{255}{360}<\frac{260}{360}$
Thus, $\frac{8}{15}<\frac{7}{12}<\frac{17}{24}<\frac{13}{18}$
Hence, the following fractions in ascending order is $\frac{8}{15}<\frac{7}{12}<\frac{17}{24}<\frac{13}{18}$