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 10ⁿ. This value becomes the numerator.
• Step 3: Write 10ⁿ 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 10³, we get

2.678 = 2.678 × (10³ / 10³)

= 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 10⁴, we get

0.0754 = 0.0754 × (10⁴ / 10⁴)

= 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

☛ Math Calculators: