Expressing quantities as fractions. Lesson 1-2
Fractions that are equal to one. Lesson 3
Various types of fractions. Lesson 4
Compare fractions with the same denominator. Lesson 7
Study equivalent fractions. Lesson 8
Finding equivalent fractions Lesson 9
Practice with intermediate fractions. Lesson 10

Lessons 5-6

Let's see how to change an improper fraction to a mixed number.

Change 7/3 to a mixed number.

Example 1

In the picture above, each rectangle is divided into thirds.

7 times 1/3 is 7/3.

You can change the improper fraction 7/3 to a mixed number.

7/3 = 3/3 + 3/3 + 1/3
= 1 + 1 + 1/3
= 2 + 1/3
= 2 1/3

Here's another way to look at it:

Example 2

Use this method to change the improper fractions below into mixed numbers.

5 = + =       12 = + =
2 7

Change each of the following improper fractions to a mixed number.

16 =       9 =       19 =       25 =
7 2 5 9
108

Let's see how to change a mixed number to an improper fraction.

Example 3
2 2 = 2 + 2 = 6 + 2 = 6 + 2 = 8
333333
2 2 = 3 × 2 + 2 = 8
333

Change each mixed number to an improper fraction. Fill in each box to change the mixed number to an improper fraction.

Example 4
1 3 = 1 + 3 = + 3 =
44444
2 2 = 2 + 2 = + =
44444

Change each of the following mixed numbers to an improper fraction.

5 × 3 + 1 =            4 7 = + =
559999
2 5 =            5 1 =
7766
109

Change the following improper fractions to a mixed number. Fill in each box with the right number.

13 = + =
333
31 = + =
777

Change each of the following improper fractions to mixed numbers.

11 =       13 =       15 =       19 =      
9 3 4 8
31 =       17 =       23 =       33 =      
7 5 6 10

Correct each equation by changing the number to the right of the equal sign.

13 =       2 3 =
711
13 =       3 4 =
45

Change each of the following mixed numbers to an improper fraction.

1 2 =       2 6 =       4 7 =       5 6 =
5 11 10 7
3 5 =       3 1 =       1 4 =       8 3 =
8 6 9 4
Copyright © 2007 by Janice Grow-Maienza