Convert Mixed Numbers to Improper Fractions

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Mixed Numbers

A mixed number is a combination of a whole number and a fraction, for example: 2

Improper Fractions

A fraction in which the numerator is larger than or equal to the denominator, like

, or

is called an improper fraction.

Convert Mixed Numbers to Improper Fractions

A mixed number can be expressed as a fraction.

Improper

Multiply the whole number by the denominator.
Then add the result to the numerator.
This result becomes new numerator.
The denominator remains the same.

Let's illustrate through examples.

Example 1

Write 2

as an improper fraction.

Solution

To write 2

as an improper fraction,

Multiply the whole number by the denominator.

The whole number is 2.

The denominator is 2.

2 x 2 = 4

Add the result to the numerator:

The numerator is 1.

4 + 1 = 5

The numerator is 5. The denominator remains 2.

Example 2

Write 5

as an improper fraction.

Solution

To write 5

as an improper fraction,

Multiply the whole number by the denominator.

The whole number is 5.

The denominator is 3.

5 x 3 = 15

Add the result to the numerator:

The numerator is 2.

15 + 2 = 17

The numerator is 17. The denominator remains 3.

Summary

A mixed number is a combination of a whole number and a 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.
A mixed number can be expressed as a fraction.
- Multiply the whole number by the denominator.
- Then add the result to the numerator.
- This result becomes new numerator.
- The denominator remains the same.