Question

Select the correct order of fractions.

• A. $\frac{5}{25}>\frac{4}{16}$
• B. $\frac{5}{25}<\frac{4}{16}$
• C. $\frac{5}{25}=\frac{4}{16}$

Answer 1

The correct option is B $\frac{5}{25}<\frac{4}{16}$

The simplest form of the fractions are $\frac{5}{25}=\frac{1}{5}$ , $\frac{4}{16}=\frac{1}{4}$

For turning them into like fractions, we multiply the denominator of one fraction with the numerator and denominator of the other.
$\frac{1\times 4}{5\times 4}=\frac{4}{20}$

$\frac{1\times 5}{4\times 5}$ = $\frac{5}{20}$

On comparing $\frac{4}{20}$ and $\frac{5}{20}$ , we see that $\frac{5}{20}$ (originally $\frac{4}{16}$) is the bigger fraction.