**Definition of Decimal Fraction**

- A Decimal Fraction is a fraction in which the denominator is a power of ten.

**More about Decimal Fraction**

- Decimal fraction can be easily converted into decimal by inserting a decimal separator in the value of the numerator at the position from the right in accordance with the power of ten of the denominator.

**Examples of Decimal Fraction**

- , , are the examples of decimal fractions. These decimal fractions can be expressed as 2.3, 0.47, and 0.089 without the denominators.

**Solved Example on Decimal Fraction**

A teacher asks Patrick to convert the decimal number 153.31 to the equivalent (decimal) fraction. What should be Patrick’s answer?

Choices:

A.

B.

C.

D.

Correct Answer: A

Solution:

Step 1:153.31 = 153 + 0.31 [Divide the decimal into real part and decimal part.]

Step 2:0.31 = [Convert the decimal to fraction.]

Step 3:153 + 0.31 = 153 + = 153 = [Substitute and convert the mixed fraction to improper fraction.]

Step 4:Patrick’s answer should be.

**Related Terms for Decimal Fraction**

- Base Ten System
- Decimal
- Fraction
- Powers