Question

Convert each of the following into a fraction:

(i) 32%
(ii) $6\frac{1}{4}\%$
(iii) $26\frac{2}{3}\%$
(iv) 120%
(v) 6.25%
(vi) 0.8%
(vii) 0.06%
(viii) 22.75%

Answer 1

We have the following:

(i) $32\%=\left(\frac{32}{100}\right)=\frac{8}{25}$

(ii) $6\frac{1}{4}\%=\left(\frac{25}{4}\right)\%=\left(\frac{25}{4}\times \frac{1}{100}\right)=\frac{1}{16}$

(iii) $26\frac{2}{3}\%=\left(\frac{80}{3}\right)\%=\left(\frac{80}{3}\times \frac{1}{100}\right)=\left(\frac{4\times 1}{3\times 5}\right)=\frac{4}{15}$

(iv) $120\%=\left(\frac{120}{100}\right)=\frac{6}{5}=1\frac{1}{5}$

(v) $6.25\%=\left(\frac{6.25}{100}\right)=\left(\frac{625}{100\times 100}\right)=\left(\frac{25}{400}\right)=\frac{1}{16}$

(vi) $0.8\%=\left(\frac{0.8}{100}\right)=\left(\frac{8}{10\times 100}\right)=\left(\frac{8}{1000}\right)=\frac{1}{125}$

(vii) $0.06\%=\left(\frac{0.06}{100}\right)=\left(\frac{6}{100\times 100}\right)=\left(\frac{6}{10000}\right)=\frac{3}{5000}$

(viii) $22.75\%=\left(\frac{22.75}{100}\right)=\left(\frac{2275}{100\times 100}\right)=\frac{91}{400}$