Convert Between Fractions and Decimals

A Fraction has a numerator that is on the top and a denominator that is on the bottom.
A decimal is a number that is between two whole numbers. It has a decimal point to separate the whole number from the parts of a whole.
To convert a fraction to a decimal, you must divide its numerator by its denominator.
The best way to make this division is to use a calculator.

Step by step to convert decimals to fractions:

Step 1: Add 1 to the denominator of the decimal number.
Step 2: Multiply its denominator and the numerator by multiples of 10, for every one of the decimal points.
Step 3: Simplify if it is possible.

Convert Between Fractions and Decimals – Examples 1

Write 0.4 as a fraction.
Solutions:
Step 1: Write down the decimal as a fraction in which the denominator is 1.
\(0.4=\frac{0.4}{1}\)
Step 2: Multiply its denominator and the numerator by multiples of 10.
\(\frac{0.4}{1}=\frac{0.4}{1}\frac{×10}{×10}=\frac{4}{10}\)
Step 3: Simplify.
\(\frac{4}{10}=\(\frac{2}{5}\)

Convert Between Fractions and Decimals – Examples 2

Write \(\frac{1}{5}\) as a decimal number.
Solutions:
Step 1: Divide the numerator (1) by the denominator (5).
\(1÷5=0.20\)