PDF chapter test TRY NOW

3. Conversion methods of percentage part-2

4. Conversion of ratio into percent

We can convert ratio into a percentage using the following method.

Example:

(i)

$a:b$

$\begin{array}{l} = \frac{a}{b} \\ = [\frac{a}{b} \times 100] % \end{array}$

(ii)

$3:8$

$\begin{array}{l} = \frac{3}{8} \\ = [\frac{3}{8} \times 100] % \\ = 37 \frac{1}{2} % \end{array}$

5. Conversion of Percent into decimal

To convert the percent to decimal, first change it to a fraction by dividing it by

$1000$ and remove the

$\%$ sign. Then put the decimal point accordingly.

$a\%$

$= a/100$

$= 0.0a$

(percent) (fraction) (decimal)

Example:

(i) 37

$\%$

$=$

$\frac{37}{100}$

$=$ 0.37

$\%$

(ii) 49

$\%$

$=$

$\frac{49}{100}$

$=$ 0.49

$\%$

(iii)

$\frac{2}{8} %$

$=$

$\frac{2}{8 \cdot 100}$

$=$ 0.003

$\%$

6. Conversion of decimal into a Percent

To convert decimal into a percent, first, change it to fraction for the removal of decimal and then multiply it by

$100$ and put the

$\%$ sign.

Example:
(i) 5.8

$=$ $\frac{58}{10}$

$=$ $[\frac{58}{10} \times 100] %$

$=$ $\%$

(ii) 0.042

$=$ $\frac{42}{1000}$

$=$ $\frac{42}{1000} \cdot 100$

$=$ $\%$

$1$

Previous theory

Exit to the topic

Next theory

Send feedback

Did you find an error?

Send it to us!

3. Conversion methods of percentage part-2

Theory: