Express each of the following ratios as percents:
(i) $4 : 5$
(ii) $1 : 5$
(iii) $11 : 125$

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Solution

(i) $4 : 5$
$4 : 5$
$= \frac{4}{5}$
$= \frac{4}{5} \times 100 %$
$= 80 %$
(ii) $1 : 5$
$= 1 : 5$
$= \frac{1}{5}$
$= \frac{1}{5} \times 100 %$
$= 20 %$
(iii) $11 : 125$
$11 : 125$
$= \frac{11}{125}$
$= \frac{11}{125} \times 100 %$
$= \frac{11}{5} \times 4 %$
$= \frac{44}{5} %$
$= 8.8 %$

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Similar questions

Q. Write each of the following division as fraction:

(i) 6 ÷ 3
(ii) 25 ÷ 5
(iii) 125 ÷ 50
(iv) 55 ÷ 11

Q. Express each of the following ratios as a per cent.

1 : 5

Simplify the following using distributive property;
(i). $\frac{2}{5} (\frac{1}{9} + \frac{2}{5})$ (ii). $\frac{5}{12} (\frac{25}{9} + \frac{32}{5})$ (iii). $\frac{8}{9} (\frac{11}{2} + \frac{2}{9})$

Q. Express each one of the following with rational denominator:

(i)

\frac{1}{3 + \sqrt{2}}

(ii)

\frac{1}{\sqrt{6} - \sqrt{5}}

(iii)

\frac{16}{\sqrt{41} - 5}

(iv)

\frac{30}{5 \sqrt{3} - 3 \sqrt{5}}

(v)

\frac{1}{2 \sqrt{5} - \sqrt{3}}

(vi)

\frac{\sqrt{3} + 1}{2 \sqrt{2} - \sqrt{3}}

(vii)

\frac{6 - 4 \sqrt{2}}{6 + 4 \sqrt{2}}

(viii)

\frac{3 \sqrt{2} + 1}{2 \sqrt{5} - 3}

(ix)

\frac{b^{2}}{\sqrt{a^{2} + b^{2}} + a}

Q. Express each of the following per cents as ratios in the simplest forms:
(i) 2.5%
(ii) 0.4%
(iii)

13 \frac{3}{4} %

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Express each of the following ratios as percents:(i) 4:5(ii) 1:5(iii) 11:125

(i) 4:54:5=45=45×100%=80%(ii) 1:5 =1:5=15=15×100%=20%(iii) 11:12511:125=11125=11125×100%=115×4%=445%=8.8%

Express each of the following ratios as percents:
(i) $4 : 5$
(ii) $1 : 5$
(iii) $11 : 125$

(i) $4 : 5$
$4 : 5$
$= \frac{4}{5}$
$= \frac{4}{5} \times 100 %$
$= 80 %$
(ii) $1 : 5$
$= 1 : 5$
$= \frac{1}{5}$
$= \frac{1}{5} \times 100 %$
$= 20 %$
(iii) $11 : 125$
$11 : 125$
$= \frac{11}{125}$
$= \frac{11}{125} \times 100 %$
$= \frac{11}{5} \times 4 %$
$= \frac{44}{5} %$
$= 8.8 %$