# Decimal to Fraction Calculator

To convert a decimal to fraction (or mixed number), enter it & repeating digits in designated fields and tap 'Calculate'

 Decimal Repeating Digits

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

Decimal Fraction
0.00001 1/100000
0.0001 1/10000
0.001 1/1000
0.01 1/100
0.08333333 1/12
0.09090909 1/11
0.1 1/10
0.11111111 1/9
0.125 1/8
0.14285714 1/7
0.16666667 1/6
0.2 1/5
0.22222222 2/9
0.25 1/4
0.28571429 2/7
0.3 3/10
0.33333333 1/3
0.375 3/8
0.4 2/5
0.42857143 3/7
0.44444444 4/9
0.5 1/2
0.55555555 5/9
0.57142858 4/7
0.6 3/5
0.625 5/8
0.66666667 2/3
0.7 7/10
0.71428571 5/7
0.75 3/4
0.77777778 7/9
0.8 4/5
0.83333333 5/6
0.85714286 6/7
0.875 7/8
0.88888889 8/9
0.9 9/10
1.1 11/10
1.2 6/5
1.25 5/4
1.3 13/10
1.4 7/5
1.5 3/2
1.6 8/5
1.7 17/10
1.75 7/4
1.8 9/5
1.9 19/10
2.5 5/2