Download Mixed Numbers and Improper Fractions

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Mixed Numbers and Improper Fractions
A mixed number is the sum of a whole number and a fraction. An improper fraction is a fraction with
a numerator that is greater than or equal to the denominator.
1
16
The shaded part of the model represents the mixed number 3— and the improper fraction —.
5
5
3 or
15
5
1
5
5
Example 1 Write 4 — as an improper fraction.
8
5
5
Definition of mixed number
4— = 4 + —
8
8
32 5
8
32
=—+—
1 whole = —. So, 4 wholes = —.
8
8
8
8
37
=—
Add.
8
5
37
4 — written as an improper fraction is —.
8
8
19
Example 2 Write — as a mixed number.
7
2
7)‾
19
14
5
Divide the numerator, 19, by the denominator, 7. The quotient is 2.
remainder
The remainder is 5. Write the remainder as a fraction, —.
divisor
19
7
5
7
— written as a mixed number is 2—.
Practice
Check your answers at BigIdeasMath.com.
Write the mixed number as an improper fraction.
4
5
1. 1—
5
9
5. 6—
9
5
59
—
9
—
1 19
6 6
3. 10— —
3 83
20 20
7. 7—
2. 3— —
6. 4 — —
7 107
10 10
4.
12 38
2— —
13 13
55
7
8.
2 77
25— —
3 3
6
7
—
Write the improper fraction as a mixed number.
9
2
59
13. —
10
9. —
1
4—
2
9
5—
10
13
5
43
14. —
4
10. —
3
2—
5
3
10—
4
25
3
35
15. —
8
11. —
1
8—
3
3
4—
8
12.
16.
1
2
17. Find the improper fraction with a denominator of 8 that is equivalent to 3—.
3
4
18. Find the improper fraction with a denominator of 12 that is equivalent to 5—.
Copyright © Big Ideas Learning, LLC
31
9
67
—
11
—
4
3—
9
1
6—
11
28
8
69
—
12
—
Topic 2.2