Convert Improper Fractions to Mixed Numbers

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CCSS.Math.Content.5.NF.A.1

Improper fraction

A fraction in which the numerator is larger than or equal to the denominator, like
5
2
,
17
3
, or
6
6
is called an improper fraction.

Mixed fraction

A mixed number is a combination of a whole number and a fraction.

For example: 2
1
2
.

Convert Improper Fractions to Mixed Numbers

Improper fractions can be written as mixed numbers.

To write an improper fraction as a mixed number,

• Divide the numerator (top part) by the denominator (bottom part).
• The quotient is the whole number, and the remainder is the numerator.

Let's go through some examples to understand the concept better.

Example 1

How would you express
17
4
as a mixed number?

Solution

To write
17
4
as a mixed number,

Divide the numerator by the denominator:

17 ÷ 4 = 4, with a remainder of 1

The quotient, 4, is the whole number.

The remainder, 1, is the numerator. The denominator remains 4.

17
4
= 4
1
4

Example 2

How would you express
14
9
as a mixed number?

Solution

To write
14
9
as a mixed number,

Divide the numerator by the denominator:

14 ÷ 9 = 1, with a remainder of 5

The quotient, 1, is the whole number.

The remainder, 5, is the numerator. The denominator remains 9.

14
9
= 1
5
9

Example 3

How would you express
20
5
as a mixed number?

Solution

To write
20
5
as a mixed number,

Divide the numerator by the denominator:

20 ÷ 5 = 4

The quotient, 4, is the whole number. There is no remainder.

20
5
= 4

If there is no remainder, just take the quotient as the whole number.

Summary
• A fraction in which the numerator is larger than or equal to the denominator, like
5
2
,
17
3
, or
6
6
is called an improper fraction.
• A mixed number is a combination of a whole number and a fraction.
• To write an improper fraction as a mixed number,
• Divide the numerator (top part) by the denominator (bottom part).
• The quotient is the whole number, and the remainder is the numerator.

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