Conversion methods of percentage part-2 — lesson. Mathematics State Board, Class 7.

UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

4. Conversion of ratio into per cent

We can convert the 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 per cent into decimal

To convert the per cent to decimal, first change it to a fraction by dividing it by \(1000\) and remove the \(\%\) sign. Then put the decimal point accordingly.

\(a\%\) \(= a/100\) \(= 0.0a\)

(per cent) (fraction) (decimal)

Example:

(i) 25\(\%\)

\(=\)

\frac{25}{100}

\(=\) 0.25

(ii) 84\(\%\)

\(=\)

\frac{84}{100}

\(=\) 0.84\( \)

(iii)

\frac{2}{6} %

\(=\)

\frac{2}{6 \cdot 100}

\(=\) 0.003\( \)

6. Conversion of decimal into a per cent

To convert decimal into a per cent, change it to fraction to remove decimal and then multiply it by \(100\) and put the \(\%\) sign.

Example:

(i) 10.4

\(=\)

\frac{104}{10}

\(=\)

[\frac{104}{10} \times 100] %

\(=\) 1040\(\%\)

(ii) 0.03

\(=\)

\frac{30}{1000}

\(=\)

[\frac{30}{1000} \times 100] %

\(=\) 3\(\%\)

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: