Decimal to Fraction Calculator

The Decimal to Fraction Calculator converts the decimal number to a fraction or a mixed number. The repeating and non-repeating fractions are converted simultaneously, simply enter how many decimals are in the repeated fraction.

How to Add Repeated Decimal Digit? 

• For a repeated decimal like 0.5555… where the 5 repeats continuously, since 5 is the one trailing decimal place that repeats, simply enter 1 for the decimal place to repeat. 
• For a repeating decimal like 0.353535… where 35 repeats itself forever, enter 0.35, and since 35 is the only two trailing decimal places, enter 2 for the decimal places to repeat.
• For a repeating decimal like 0.967142967142967142.... where 967142 repeats itself forever, enter 967142, and since 967142 is the only six trailing decimal places, enter 6 for the decimal places to repeat.

Adding decimals with repeating or non-terminating decimals can be a difficult task. But this decimal to fraction calculator can do it for you accurately in moments.

Negative Decimal to Fractions:

• Just remove the (-) sign from the decimal place value
• Apply the conversion on the positive value 
• Apply the the (-) sign to the fraction 
• For a = b, then -a = -b

How to Convert Decimal to Fraction?

Convert into a fraction of 2.625
Rewrite the decimal place number
Step 1:
Divide it by 1:
2.625 changed into 2.625 / 1
Step 2:
Multiply the numbers by 1000 
Decimal is  3 digits. 
Step 3:
Eliminate the decimal
2.625 / 1 ×1000 / 1000 = 2625 / 1000
Step 4:
Find GCF for both numbers.
GCF = 125
Step 5:
Divide both numbers by the GCF
2625÷125 / 1000÷125 
= 21 / 8
Step 6:
21 / 8  improper fraction simplify
21 / 8 = 2(5 / 8)
Step 7:
Fraction to decimal conversion is
2.625 = 2(5 / 8)

Convert Repeating Decimal Number:

Let's solve  “2.666” a repeated decimal number
Step 1:
In the equation, 
Repeated decimal number = x.
Equation for repeated decimal number
1: X=2.666------------- (Eq1)
Step 2:
Count the digits that represent the decimal. 
Repeated number y = 3
Step 3:
In the 3rd step:
Both sides of (Eq1) multiplied by 1000
1000X =2666.666 ------------- (Eq2)
Step 4:
Subtract from (Eq1) by (Eq2)
1000x = 2666.666 – x = 2.666
999x = 2664
Step 5:
The calculations for x
X = 2664 / 999
Step 6:
Find the GCF.
2664÷333 / 999÷333 = 83
Step 7:
Improper fraction
Improper fraction =2(2 / 3)

How to Use Our Decimal to Fraction Calculator?

• Enter the decimal & repeating digits in given fields
• Tap 'Calculate' & this fraction to decimal converter will give you equivalent fraction (or mixed number) to the entered decimal value

Conversion Table