# Convert Decimal to FractionSupport Page

Welcome to the Math Salamanders Convert Decimal to Fraction support page. Here you will find information and support about how to convert a decimal number into a fraction.

We have several worked examples and also a help video to help you understand this concept.

## Convert Decimal to Fraction

### Converting Decimals to Fractions

To convert a decimal to a fraction, you need to follow the 3 or 4 steps below:
• Step 1) Count the number of decimal places the decimal has.
• Step 2) Put a 1 and the number of zeros that there are decimal places for the denominator of the fraction. If you have 2 decimal places, the denominator would be 100. If you have 4 decimal places, the denominator would be 10000.
• Step 3) The decimal digits now become the numerator.
• Step 4) Optional - you can reduce this fraction to its simplest form. ### Converting Decimals to Fractions Examples

#### Example 1) Convert 0.815 to a fraction.

The number of decimal places is 3, so the denominator will be 1000 and the numerator will be 815.

The decimal fraction will be: ${815 \over 1000}$

To find the simplest form, divide the numerator and denominator by 5.

${815 \over 1000} = {815 ÷ 5 \over 1000 ÷ 5} = {163 \over 200}$

Final answer: $0.815 \; = \; {163 \over 200 }$

#### Example 2) Convert 2.36 to a mixed fraction.

The decimal part is 0.36. The number of decimal places is 2. The denominator will be 100. The numerator will be 36.

The fraction will be: ${36 \over 100}$

To simplify the fraction, divide the numerator and denominator by 4.

This gives us: ${36 \over 100} = {36 ÷ 4 \over 100 ÷ 4} = {9 \over 25}$

Our final answer is: $2.36 \; = \; 2 {9 \over 25}$

#### Example 3) Convert 1.45 to an improper fraction.

The decimal part is 0.45. The number of decimal places is 2. The denominator will be 100. The numerator will be 145.

So the improper fraction will be: ${145 \over 100}$

To simplify the fraction, divide the numerator and denominator by 5.

This gives us: ${145 \over 100} = {145 ÷ 5 \over 100 ÷ 5} = {29 \over 20}$

Our final answer is: $1.45 \; = \; {29 \over 20}$

### Convert Decimal to Fraction printable sheet

Here is a printable version of the support sheet.

### Converting Decimals to Fractions Worksheets

We have a dedicated page on converting decimals to fractions worksheets.

These sheets will give you practice converting from decimals or mixed decimals into fractions.

### Converting Fractions to Decimals

How to Print or Save these sheets

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How to Print or Save these sheets

Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!