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# Decimal to Fraction Calculator

Decimal to fraction calculator is a tool that converts decimal numbers to their fractional form. To convert a decimal number into a fraction it is necessary to understand the basics of division and multiplication.

## What Is a Decimal to Fraction Calculator?

Decimal to fraction calculator helps to express a decimal number in its corresponding fractional form. A decimal number is used to represent a fractional part and a whole part together. To use the * decimal to fraction calculator*, enter the decimal number in the given input box.

### Decimal to Fraction Calculator

## How to Use the Decimal to Fraction Calculator?

Follow the steps given below for converting a decimal number to a fraction using the online Decimal to Fraction Calculator

**Step 1:**Go to Cuemath's online Decimal to Fraction Calculator.**Step 2:**Enter the decimal number in the input box.**Step 3:**Click on the**"Convert"**button to get the number as a fraction.**Step 4:**Click on the**"Reset"**button to clear the field and enter new values.

## How Does the Decimal to Fraction Calculator Work?

When converting a decimal to a fraction there are four typical situations that one might come across. These are

- Converting a non-repeating and terminating decimal to a fraction.
- Converting a repeating and non-terminating decimal to a fraction.
- Converting a decimal to a mixed fraction.
- Converting a negative decimal to a fraction.

Suppose we have a decimal number represented by A. The steps to convert a non-repeating and terminating decimal to a fraction are given below:

**Step 1:**Count the number of digits after the decimal point in the given number. Let this value be denoted by n.**Step 2:**Now multiply A by 10^{n}. This value becomes the numerator.**Step 3:**Write 10^{n}as the denominator.**Step 4:**Simplify this fraction.**Step 5:**The simplified fraction will be the fractional form of the decimal number A.

The same steps are followed when converting a negative decimal number to a fraction. The only difference is that the simplified fraction will have a negative sign.

## Solved Examples on Decimal to Fraction

**Example 1:** Convert 2.678 to a fraction and verify it using the Decimal to Fraction Calculator.

**Solution:**

There are 3 digits after the decimal point. Thus, n = 3.

Multiplying and dividing by 10^{3}, we get

2.678 = 2.678 × (10^{3} / * *10^{3})

= 2678 / 1000

= 1339 / 500

Thus the fractional form of 2.678 is 1339 / 500.

**Example 2:** Convert 0.0754 to a fraction and verify it using the Decimal to Fraction Calculator.

**Solution:**

There are 4 digits after the decimal point. Thus, n = 4.

Multiplying and dividing by 10^{4}, we get

0.0754 = 0.0754 × (10^{4} / * *10^{4})

= 754 / 10000

= 377 / 5000

Thus the fractional form of 0.0754 is 377 / 5000.

Now, try the Decimal to Fraction Calculator and convert the following decimal numbers to fractions:

- 73.86
- 0.004635

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