Question

Compare the ratios $1:8$and $4:11$.

Answer 1

Step 1: Express the given ratios as fractions

$1:8$and $4:11$can be written as fractions $\frac{1}{8}$ and $\frac{4}{11}$.

Step 2: Compare the fractions

To compare fractions, we make the denominators of both the fractions equal and then compare the numerators.

The L.C.M of denominators, $8$ and $11$ is $88$.

Let's make the denominator of both the fractions $88$.

$\frac{1\times 11}{8\times 11}=\frac{11}{88}$ and $\frac{4\times 8}{11\times 8}=\frac{32}{88}$

As $11<32$, $\frac{11}{88}$$<$$\frac{32}{88}$

$\Rightarrow \frac{1}{8}$$<$$\frac{4}{11}$.

Hence, $1:8$$<$ $4:11$.