Question

Convert each part of the ratio to percentage:

1. 3:1
2. 2:3:5
3. 1:4
4. 1:2:5

Answer 1

(a) $3: 1$

Total parts = $3 + 1 = 4$

$1 ^{st}$ part = $\frac{3}{4}=\frac{3}{4}\times 100\%=75\%$

$2^{nd}$ Part = $\frac{1}{4}=\frac{1}{4}\times100\%=25\%$

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(b) $2: 3: 5$

Total parts = $2 + 3 + 5 = 10$

$1^{st}$ part = $\frac{2}{10}=\frac{2}{10}\times100\%=20\%$

$2^{nd}$ part = $\frac{3}{10}=\frac{3}{10}\times100\%=20\%$

$3^{rd}$ part = $\frac{5}{10}=\frac{5}{10}\times100\%=50\%$

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(c) $1:4$

Total parts =$1 + 4 = 5$

$1^{st}$ part = $\frac{1}{5}= \frac{1}{5}\times100\%= 20\%$

$2^{nd}$ part = $\frac{4}{5}=\frac{4}{5}\times100\%=80\%$

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(d) $1: 2: 5$

Total parts = $1 + 2 + 5 = 8$

$1^{st}$ part = $\frac{1}{8}=\frac{1}{8}\times100\%=12.5\%$

$2^{nd}$ part = $\frac{2}{8}=\frac{2}{8}\times 100\%=25\%$

$3^{rd}$ part = $\frac{5}{8}= \frac{5}{8}\times100\%=62.5\%$