Question

How to convert decimal numbers to $\frac{\mathrm{p}}{\mathrm{q}}$ form?

Answer 1

Convert the decimal number to required form

• To convert a decimal number to $\frac{\mathrm{p}}{\mathrm{q}}$ form, multiply and divide the decimal number by ${10}^{\mathrm{n}}$, where $\mathrm{n}$ is the number of digits after the decimal in the given number.
• Then simplify the numerator to get the number in required $\frac{\mathrm{p}}{\mathrm{q}}$ form.
• For example: Convert $2.489$ to $\frac{\mathrm{p}}{\mathrm{q}}$ form.

Here, number of digits after decimal are $3$, so multiply and divide $2.489$ by ${10}^3$

i.e., $\frac{2.489\times {10}^3}{{10}^3}=\frac{2489}{1000}$

Hence, to convert a decimal number to $\frac{\mathrm{p}}{\mathrm{q}}$ form the above mentioned procedure is to be followed