Decimal to Fraction Calculator: Convert Online

A decimal to fraction calculator is a free online tool that will allow you to take a decimal number and turn it into a fraction. This can make numbers like 0.5, 0.75, 1.25 and 2.375 easier to understand, compare and use in your calculations.

Decimals and Fractions

Decimals are numbers within the base 10 number system. Fractions are numbers that show a relationship between a numerator and a denominator. For example, 0.5 would be shown as 1/2 and 0.75 would be shown as 3/4.

Sometimes it can be confusing to try to work out decimal to fraction conversions manually. A decimal to fraction calculator will help you by showing you what the numerator and denominator should be and simplifying the fraction for you.

Who Can Use A Decimal To Fraction Calculator?

Students, teachers, engineers, contractors, DIY’ers and anyone using maths measurements can benefit from this calculator.

In the U.S., fractions are heavily used in construction, woodwork, cooking and measurements. For example, a carpenter may need to convert 0.625 into 5/8 inches. A student may also need to convert decimals to fractions when completing algebra or arithmetic questions.

With our free decimal to fraction calculator you can quickly convert decimals to fractions. The calculator will simplify fractions for you too.

How To Use A Decimal To Fraction Calculator

An online decimal to fraction calculator is easy to use. Follow the steps below to convert your decimal to a fraction.

1. Enter Your Decimal

Start by typing in your decimal number. For example, type in 0.75, 1.25 or 2.5.

2. Double Check

Ensure your decimal has been entered correctly.

3. Click Calculate

Now click the calculate button.

4. See Your Answer

Your decimal will now be shown as a fraction with a numerator and denominator.

5. Simplify If Possible

If possible, the decimal will be simplified.

6. Copy Your Answer

Copy your fraction and use it in your homework, measurements, construction or calculations.

Example

Type in 0.75 into the calculator.

Decimal: 0.75

Numerator: 75

Denominator: 100

Simplified Fraction: 3/4

Your answer will be 3/4.

You can use this calculator for whole numbers, positive decimals, negative decimals and many more.

Decimal To Fraction Formula

To convert a decimal to a fraction you need to write the decimal as a fraction of two integers.

The basic formula is:

Fraction = (Decimal Number x 10^n) / 10^n
Where:

Decimal Number = The number you wish to convert.

\\(n\\) = Number of decimal places.

\\(10^n\\) = Denominator.

Once you have your fraction you can simplify it by dividing both the numerator and denominator by the Greatest Common Factor (GCF).

Simplified Fraction = (Numerator ÷ GCF) / (Denominator ÷ GCF).

For example, let’s take 0.75 and convert it to a fraction.

Step 1 – Write the decimal as a fraction.
0.75 = 75/100

Step 2 – Find the Greatest Common Factor of 75 and 100.
GCF = 25

Step 3 – Divide both numbers by 25.

75/25 = 3
100/25 = 4

Therefore, 75/100 = 3/4

So we get:

0.75 = 3/4

Our simplified fraction is 3/4.

Example Calculation

Let’s look at how to convert decimals to fractions.

Example 1 – Convert 0.5 to a Fraction

We have been given the decimal 0.5.

Step 1 – We have one decimal place so our denominator will be 10.
0.5 = 5/10

Step 2 – Find the GCF of 5 and 10.
GCF = 5

Step 3 – Simplify the fraction.
5/5 = 1
10/5 = 2

So our fraction becomes 1/2.

Example 2 – Convert 1.25 to a Fraction

We have been given the decimal 1.25.

Step 1 – Write the decimal as a fraction.
1.25 = 125/100

Step 2 – Find the GCF of 125 and 100.
GCF = 25

Step 3 – Divide both numbers by 25.
125/25 = 5
100/25 = 4

So our fraction becomes 5/4.

Example 3 – Convert 0.625 to a Fraction

We have been given the decimal 0.625.

Step 1 – We have three decimal places.
0.625 = 625/1000

Step 2 – Find the GCF of 625 and 1000.
GCF = 125

Step 3 – Simplify the fraction.
625/125 = 5
1000/125 = 8

So our fraction becomes 5/8.

Understanding Your Answer

Once you have typed in your decimal number the calculator will show you what the fraction is. Understanding how your answer works will help you use your decimal to fraction correctly.

Numerator – This is the top number in the fraction. It shows how many parts of something you have.

Denominator – This is the bottom number in the fraction. It shows how many equal parts something has been split into.

Simplified Fraction – A simplified fraction is a fraction that has been simplified to the lowest possible numbers. For example, if we divide both numbers by 2, 6/8 becomes 3/4.

Improper Fraction – An improper fraction is a fraction where the numerator is equal to or larger than the denominator. For example, 5/4.

Mixed Number – A mixed number contains a whole number and a proper fraction. For example, 5/4 can also be shown as 1 1/4.

Equivalent Fraction – Equivalent fractions are fractions that are equivalent to each other. For example, 1/2, 2/4 and 5/10.

Depending on the features of your calculator you may see a simplified fraction, improper fraction or mixed number.

What Affects Converting Decimals To Fractions?

There are a few things that can affect the conversion of your decimal number into a fraction.

Number Of Decimal Places

Depending on how many decimal places there are in your number the denominator will change. For example:

1 Decimal Place – Denominator will be 10.

2 Decimal Places – Denominator will be 100.

3 Decimal Places – Denominator will be 1,000.

Greatest Common Factor (GCF)

The GCF will determine how much you can simplify your fraction. If you have a larger GCF you may end up with a smaller numerator/denominator.

Repeated Decimals

Repeated decimals such as 0.333... will need to be converted differently. For example, 0.333... would be shown as 1/3.

Negative Numbers

Negative decimals will create negative fractions. For example, -0.75 would become -3/4.

Whole Numbers

If you have a decimal number higher than 1 you may end up with an improper fraction or mixed number. For example, 2.5 would be shown as 5/2 or 2 1/2.

Rounded Numbers

Some decimals are rounded numbers so this could affect what your fraction is.

Benefits And Uses Of A Decimal To Fraction Calculator

A decimal to fraction calculator can provide you with many benefits.

• Time Saver – You can quickly convert decimal numbers to fractions.
• Understand Maths Better – Students can understand the relationship between decimals, numerators and denominators and equivalent fractions.
• Homework And Exams – Students can check their decimal to fraction conversions.
• Construction – Contractors, carpenters and DIY’ers can convert decimals to fractions in inches. For example, 0.75 inches would be 3/4 inch.
• Cooking – Convert decimals to fractions to help with cooking.
• Fewer Mistakes – The calculator will simplify the fraction for you to reduce mistakes.
• Engineering – Professionals working with measurements, dimensions and maths can use fractions when needed.

Convert Different Decimals – Convert positive numbers, negative numbers and decimals higher than one.

Accuracy, Assumptions And Limitations

As long as you enter an accurate decimal number, the calculator will give you accurate results. However, there are some assumptions and limitations.

• Exact Decimal Numbers – Terminating decimals can be converted to exact fractions. For example, 0.25 can be converted to an exact fraction of 1/4.
• Repeated Decimals – Repeated decimals can be converted using specific methods. If you have a repeated decimal that has been rounded the answer may not be an exact fraction.
• Rounded Numbers – Very long decimals may be rounded.
• Simplification – The fraction should be simplified by dividing numerator and denominator by the GCF.
• Negative Numbers – Negative decimals should remain negative after conversion.
• Large Numbers – Very large decimals may need extra processing.
• Approximate Measurements – In construction and other areas you may have to round the decimal to an available fraction.

For the best results, enter full decimals and double check the simplified fraction.

FAQs

What Is A Decimal To Fraction Calculator?

A decimal to fraction calculator is an online tool that will help you turn decimal numbers into fractions. The calculator will also simplify fractions where possible.

How Can I Convert Decimals To Fractions Manually?

Count how many numbers there are after the decimal point and use that as your power of 10 denominator. The numbers after the decimal point will become your numerator. Then simplify your fraction using the GCF.

What Is 0.75 As A Fraction?

0.75 can be converted to 75/100. This can be simplified by dividing both numbers by 25 to give the answer 3/4.

Can I Convert Decimals Greater Than 1?

Yes! Decimals greater than 1 can be converted to improper fractions or mixed numbers. For example, 2.5 can be converted to 5/2 or 2 1/2.

Can I Use This Calculator For Negative And Repeating Decimals?

Yes! Negative decimals can be converted to negative fractions. Repeating decimals can be converted if you know the pattern. Some calculators may need extra input.