Converting Mixed Numbers and

Improper Fractions

PowerPoint

What is an improper fraction?

An improper fraction is afraction where the numerator

is larger than the denominator.

Example:783

What is a mixed number?

A mixed number is a whole number and a fraction.

Example:

7 1 2

Mixed Numbers vs. Improper Fractions

When you convert or change an improper fraction to a mixed number or a mixed

number to an improper fraction, the values of each are still the same. Look at how this

improper fraction and mixed number represent the same amount.

3

72

12

means we have seven½ pieces

12

12

12

12

12

12

12

12

means we have 3

wholes and another ½.

12

12

1 1 1

Converting Mixed Numbers to Improper Fractions

1. Multiply the denominator of the fraction by the whole

number.2. Add the numerator to the

product. 3. Put that sum over the

original denominator.

Converting Mixed Numbers to Improper Fractions

Example

7

Step 1: 2 x 7 = 14Step 2: 14 + 1 = 15

Step 3:

1 2x

+

15 2

Practice

Convert the following mixed numbers toImproper fractions.

5 8 9

7 4 3

2 7

4 9

1 3

3 8

2 5

6 7

Converting Improper Fractions to Mixed Numbers

1. Divide the numerator by the denominator.

2. The quotient is your whole number.

3. Put the remainder over the original denominator to get

your fraction.

Converting Improper Fractions to Mixed Numbers

Example

7 R 1

2 15 7 -14

1

15 2

1 2

Practice

Convert the following improper fractionsto mixed numbers.

19 3

44 6

76 5

39 8

97 4

64 6