Question

Write these ratios in ascending order:

$6:4,4:16,4:8$

Answer 1

Write these ratios in ascending order:

First of all, write all the ratios in the $\frac{p}{q}$ form

$\frac{6}{4},\frac{4}{16},\frac{4}{8}$

Now take the L.C.M. of the number written on the denominator

i.e. L.C.M. of $\left(4,16,8\right)=16$

Multiply both numerator and denominator of the fractions of step 1 with a certain number to make it $40$ in the each denominator

i.e. $\frac{6\times 4}{4\times 4}=\frac{24}{16},\frac{4\times 1}{16\times 1}=\frac{4}{16},\frac{4\times 2}{8\times 2}=\frac{8}{16}$

Since the denominator of each fraction is equal so that we can compare the fractions according to their numerator, we get

$\frac{4}{16}<\frac{8}{16}<\frac{24}{16}$

Therefore, $\frac{4}{16}<\frac{4}{8}<\frac{6}{4}$.