Decimal to Fraction Calculator

This calculator converts any decimal number into a fraction in simplest form. For decimal values greater than 1, the calculator displays the result both as an improper fraction and as a mixed fraction. However, for decimal values less than 1, the result is shown as a proper fraction.

Simply enter the decimal number and click Convert to get instant results with a clear, step-by-step explanation.

Want to quickly convert a fraction to a decimal? Try the fraction to decimal calculator now!

How to Use the Decimal to Fraction Calculator

Converting a non-recurring decimal to a fraction using this calculator is straightforward. Just follow these simple steps:

• Step 1: Enter the decimal number
• Step 2: Click the “Convert” button

The calculator instantly converts the decimal to its fraction equivalent, either as a proper, improper, or mixed fraction. It also provides a clear step-by-step explanation of how to convert the decimal to a fraction to help you learn.

How to Convert a Decimal to a Fraction

To convert a decimal to a fraction manually, you only need to follow these steps:

• Step 1. Identify the place value of the last digit to the right of the decimal point
• Step 2. Write the number without the decimal point as the numerator of the fraction
• Step 3. Use the place value of the last digit to the right of the decimal point as the denominator of the fraction
• Step 4. Write and simplify the fraction by dividing the numerator and denominator by their Greatest Common Factor (GCF) to reach the simplest form.

Example 1. What is 0.001 as a fraction?

Solution

Step 1. Identify the place value of the last digit to the right of the decimal point

From the question, the last digit to the right of the decimal point is 1. Its place value is thousandths

Step 2. Write the number without the decimal point as the numerator of the fraction

The number without the decimal point is 1. Thus, this becomes the numerator of the fraction

Step 3. Use the place value of the last digit to the right of the decimal point as the denominator of the fraction

Since the place value of the last digit is thousandths, the denominator of the fraction is 1000

Step 4: Write and simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF) to reach the simplest form.

The fraction becomes 1/1000. Since this is in its simplest form, no further simplification is required.

Therefore, 0.001 as a fraction is 1/1000.

Alternatively, using the calculator yields similar results as shown below.

Example 2. Convert 0.5 to a fraction

Solution

Step 1. Identify the place value of the last digit to the right of the decimal point

From the decimal (0.5), the last digit to the right of the decimal point is 5. Its place value is tenths.

Step 2. Write the number without the decimal point as the numerator of the fraction

The number without the decimal point is 5, which becomes the numerator of the fraction

Step 3. Use the place value of the last digit to the right of the decimal point as the denominator of the fraction

Since the place value of the last digit is tenths, the denominator of the fraction is 10.

Step 4: Write and simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF) to reach the simplest form.

The fraction is 5/10, which is not in its simplest form. In this case, we need to simplify it by dividing the numerator and denominator by the GCF. Since the GCF is 5, we divide the numerator and denominator by 5 to get 1/2.

Thus, 0.5 as a fraction is 1/2. The calculator confirms the results as shown below.

Example 3. Convert 0.125 to a fraction

Solution

Step 1. Identify the place value of the last digit to the right of the decimal point

From the decimal (0.125), the last digit to the right of the decimal point is 5. Its place value is thousandths.

Step 2. Write the number without the decimal point as the numerator of the fraction

The number without the decimal point is 125. Thus, 125 will be the numerator of the fraction.

Step 3. Use the place value of the last digit to the right of the decimal point as the denominator of the fraction

Since the place value of the last digit is thousandths, the denominator of the fraction is 1000.

Step 4: Write and simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF) to reach the simplest form.

The fraction becomes 125/1000, which is not in its simplest form. To simplify it, we divide both the numerator and denominator by their common factors until no common factor greater than 1 remains.

Here’s how to simplify fractions:

• Step 1. Divide both the numerator and denominator by 5: 125 ÷ 5 / 1000 ÷ 5 = 25/200
• Step 2. 5 is still a common factor. Divide both by 5 again: 25 ÷ 5 / 200 ÷ 5 = 5/40
• Step 3. 5 is still a common factor. Divide both by 5 one more time: 5 ÷ 5 / 40 ÷ 5 = 1/8

Since 1 and 8 have no common factor other than 1, 1/8 is the fraction in simplest form.

Therefore, 0.125 as a fraction in its simplest form is 1/8.

Want a quick way to simplify fractions? Try our simplifying fractions calculator.

Alternatively, entering 0.125 in the calculator and clicking the “Calculate” button yields similar results as shown below.

Frequently Asked Questions