Question

Write the following ratio in ascending order.

$42:24,13:16,\&5:3$

Answer 1

$42:24=\frac{42}{24};13:16=\frac{13}{16};5:3=\frac{5}{3}$

Now, the LCM of $\left(24,16,3\right)=48$

$$\begin{gathered} \therefore \frac{42}{24}=\frac{42\times 2}{24\times 2}=\frac{84}{48}; \\ \frac{13}{16}=\frac{13\times 3}{16\times 3}=\frac{39}{48}; \\ \frac{5}{3}=\frac{5\times 16}{3\times 16}=\frac{80}{48}. \end{gathered}$$

So, by comparing its numerator we get, $84>80>39.$

Ascending order $=\frac{39}{48},\frac{80}{48},\frac{84}{48}$

$=\frac{13}{16},\frac{5}{3},\frac{42}{24}$

Hence, the required ascending order of the given ratio is $13:16,5:3,\&42:24$