# 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).

\(1÷5=0.20\)

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