Question

Compare the ratios $\frac{3}{8},\frac{5}{24},\frac{7}{3}$ and and write them in descending order.

Answer 1

Compare the given ratios:

Given ratios $\frac{3}{8},\frac{5}{24},\frac{7}{3}$ which can be written as,

$\frac{3x3}{8x3},\frac{5x1}{24x1},\frac{7x8}{3x8}$ [LCM of $8,24,3=24$]

$\frac{9}{24},\frac{5}{24},\frac{56}{24}$

Since $56>9>5$

Divide by $24$,

$$\begin{gathered} \frac{56}{24}>\frac{9}{24}>\frac{5}{24} \\ \frac{7}{3}>\frac{3}{8}>\frac{5}{24} \end{gathered}$$

Hence, the given ratios in their descending order of their magnitude are $\frac{7}{3},\frac{3}{8}\mathrm{and}\frac{5}{24}$.