# Recurring Decimal to Fraction Calculator

Here is a simple online Recurring Decimal to Fraction Calculator to convert from Repeating Decimal to Fraction. Recurring decimals are numbers which have an infinitely repeating number after the decimal point. Recurring decimals could be separated as the non-recurring part and the recurring part. The number that recurs infinitely is the recurring part. In the below Recursive Fraction Converter enter the values for recurring part and non-recurring part and click calculate to find the result.

## Recursive Fraction Converter | Repeating Decimal to Fraction Calculator

Here is a simple online Recurring Decimal to Fraction Calculator to convert from Repeating Decimal to Fraction. Recurring decimals are numbers which have an infinitely repeating number after the decimal point. Recurring decimals could be separated as the non-recurring part and the recurring part. The number that recurs infinitely is the recurring part. In the below Recursive Fraction Converter enter the values for recurring part and non-recurring part and click calculate to find the result.

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### Example:

What rational number or fraction is equal to 0.7777777

#### Solution:

**Step: 1**

Let us consider, x = 0.7777777.

Place the repeating digit ( 5 ) to the left of the decimal point (i.e) x = 7.7777777

**Step: 2**

Multiply the above equation by 10.

10x = 7.7777777

**Step: 3**

Subtract **Step 1 & Step 2**

10x - x = 7.7777777 - 0.7777777

9x = 7

Divide both sides by 9

x = 7/9

Follow the example for Conversion or repeating of decimal fraction into vulgar fraction in this Recurring Decimal to Fraction Calculator. For example 0.333.. is a recursive number and could be represented as a fraction such as 1/3.