Question

Convert the following fractions into percentages:

(1) $\frac{7}{20}$
(2) $\frac{43}{50}$
(3) $\frac{21}{300}$
(4) $\frac{120}{500}$
(5) $\frac{29}{25}$

Answer 1

(1) To convert the given fraction into percentage, i.e., a fraction with denominator 100, we will multiply the numerator and denominator by 5.

∴ $\frac{7}{20}=\frac{7\times 5}{20\times 5}=\frac{35}{100}$

Thus, $\frac{35}{100}$ is 35%.

(2) To convert the given fraction into percentage, i.e., a fraction with denominator 100, we will multiply the numerator and denominator by 2.

∴ $\frac{43}{50}=\frac{43\times 2}{50\times 2}=\frac{86}{100}$

Thus, $\frac{86}{100}$ is 86%.

(3) To convert the given fraction into percentage, i.e., a fraction with denominator 100, we will divide the numerator and denominator by 3.

∴ $\frac{21}{300}=\frac{21÷3}{300÷3}=\frac{7}{100}$

Thus, $\frac{7}{100}$ is 7%.

(4) To convert the given fraction into percentage, i.e., a fraction with denominator 100, we will divide the numerator and denominator by 5.

∴ $\frac{120}{500}=\frac{120÷5}{500÷5}=\frac{24}{100}$

Thus, $\frac{24}{100}$ is 24%.

(5) To convert the given fraction into percentage, i.e., a fraction with denominator 100, we will multiply the numerator and denominator by 4.

∴ $\frac{29}{25}=\frac{29\times 4}{25\times 4}=\frac{116}{100}$

Thus, $\frac{116}{100}$ is 116%.