# How to convert a decimal number to a fraction reduced to its lowest form?

Given: A number in decimal form.

To do: To convert a decimal number to a fraction reduced to its lowest form.

Solution:

$1$. Write down the decimal divided by 1.

$2$. Multiply both top and bottom by 10 for every number after the decimal point.

For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.

$3$. Simplify or reduce the fraction.

Example: Convert 0.75 to a fraction reduced to its lowest form.

$1$. Write down 0.75 divided by 1:

$\frac{0.75}{1}$

$2$. Multiply both top and bottom by $100$ because there are 2 digits after the decimal point so that is $10\times10=100$.

$\frac{0.75\times100}{1\times100}$

$=\frac{75}{100}$

It turned the top number into a whole number

$3$. Let's simplify the fraction

$=\frac{75÷25}{100÷25}$

$=\frac{3}{4}$

Thus, $\frac{3}{4}$ is reduced lowest term fraction of the decimal number $0.75$.

Updated on: 10-Oct-2022

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