Fraction to Decimal Calculator

Enter a fraction to quickly convert it into decimal form, with automatic recognition and marking of repeating decimals.

Fraction

How to Convert a Fraction to a Decimal?

Converting a fraction to a decimal is usually done by division. Here are the detailed steps for the conversion:

A fraction is typically represented as \( \frac{a}{b} \), where \( a \) is the numerator and \( b \) is the denominator.

Divide the numerator \( a \) by the denominator \( b \).

If the division ends, you get a terminating decimal.
If the remainder repeats, the result will form a repeating decimal, written as \( 0.\overline{x} \), where \( x \) is the repeating part.

Solution:

Perform the division:

\( 3 \div 4 = 0.75 \)

Result: \( \frac{3}{4} \) converted to decimal form is 0.75 (terminating decimal).

Solution:

1. Perform the division:

\( 1 \div 3 = 0.333... \)

2. This is a repeating decimal, marked as:

\( 0.333... = 0.\overline{3} \)

Result: \( \frac{1}{3} \) converted to decimal form is \( 0.\overline{3} \) (repeating decimal).

Solution:

1. Perform the division:

\( 2 \div 7 = 0.285714285714... \)

2. This is a repeating decimal, marked as:

\( 0.285714285714... = 0.\overline{285714} \)

Result: \( \frac{2}{7} \) converted to decimal form is \( 0.\overline{285714} \) (repeating decimal, with a repeating cycle of 285714).