# Converting fractions to decimals We know that, generally speaking, a fraction is the quotient of two algebraic expressions a / b with b ≠ 0; in which "a" is the numerator and "b" the denominator. Converting a fraction to a decimal is a relatively simple process, we just need divide the numerator by the denominator.

## How to convert a fraction to a decimal?

To convert a fraction to a decimal number we must divide the numerator by the denominator, for example, suppose we want to transform the fraction 5/8 to a decimal. When we divide 5 by 8 the result is 0.625, this is the decimal number that is equivalent to the fraction 5/8. Let's see other examples:

1. Let be the fraction 4/3, when we divide 4 by 3 we obtain 1,333333, which is a decimal number that does not stop, in other words, a periodic number. The period can be expressed by writing an arc or bar above the repeated figures, therefore, it will indicate that the number repeats indefinitely. So 1, ͞3 is the decimal number equivalent to the fraction 4/3.
1. Let be the fraction 3 5/11; as we can see it is a mixed fraction, since it is made up of an integer and a fraction. To transform it to a decimal we can perform two procedures:
• Converting the fractional part to a decimal first, then adding the integer part to it:

5 ÷ 11 = 0, ͞͞͞4͞5 → 3, ͞͞͞4͞5

• Converting the mixed fraction to a proper fraction, then, we divide the numerator by the denominator:

3 5/11 = (3 × 11 + 5) / 11 = 38/11

38 ÷ 11 = 3, ͞͞͞4͞5