Download Help With Mixed Numerals

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Skillsheet
Improper fractions and mixed numerals
Fractions are written as two numbers separated by a line. They have a ‘top’ and a ‘bottom’.
The top part is called
the numerator.
The bottom part is called
the denominator.
4
9
The line between the top and
bottom is called the vinculum.
Proper fractions have a numerator which is less than the denominator, for example,
4
9
4
13
37
60
261
365
80
100
Improper fractions have a numerator which is greater than or equal to the denominator, for example,
12
12
9
4
17
3
81
60
121
100
Mixed numerals have a whole part and a fraction part, for example,
4
1
2
5
2
3
3
1
7
4
8
31
Converting mixed numerals to improper fractions
Example 1
Change the following numbers into improper fractions.
3
3
b 5
a 1
4
7
Solution
3
3
5 ¼5þ
7
7
7 3
¼5 þ
7 7
¼ 7 quarters
35 3
7
þ
¼
¼
7 7
4
38
¼
7
A quicker way of doing Question 2 is to multiply the whole number part by the denominator and then add the
numerator.
3
a 1 ¼ 1 whole and 3 quarters
4
¼ 4 quarters þ 3 quarters
5×7
5
b
3 35 + 3 38
=
=
7
7
7
© Cengage Learning Australia Pty Ltd 2011
MAT07NASS10020
Number and Algebra: Real numbers
www.nelsonnet.com.au
[Satish][NelsonNet Worksheet][D:/Thomson_Learning_Projects/NelsonNet_Worksheets_SB7_1080060/z_production/z_3B2_3D_files/Maths worksheet MS x 43/Student resources/NCM_Batch1/Skillsheets/MAT07NASS10020_Improper_fractions_and_mixed_numerals.3d] [25/8/011/16:40:21] [1–3]
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Converting improper fractions to mixed numerals
To convert improper fractions to mixed numerals, divide the numerator by the denominator and write the
remainder as a proper fraction.
Example 2
Convert
38
into a mixed numeral.
3
Solution
38
¼ 38 3
3
¼ 12 remainder 2
2
¼ 12
3
Exercise
1 Convert each mixed numeral into an improper fraction.
a 112
e 412
b 158
7
f 310
c 127
g 616
d 313
h 111
12
2 Convert each improper fraction to a mixed numeral.
a 13
3
b 13
4
c 13
10
d 21
5
e 38
35
f 35
8
g 41
6
h 36
5
© Cengage Learning Australia Pty Ltd 2011
MAT07NASS10020
Number and Algebra: Real numbers
www.nelsonnet.com.au
[Satish][NelsonNet Worksheet][D:/Thomson_Learning_Projects/NelsonNet_Worksheets_SB7_1080060/z_production/z_3B2_3D_files/Maths worksheet MS x 43/Student resources/NCM_Batch1/Skillsheets/MAT07NASS10020_Improper_fractions_and_mixed_numerals.3d] [25/8/011/16:40:21] [1–3]
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Answers
1 a
3
2
b
13
8
c
9
7
d
10
3
e
9
2
f
37
10
g
37
6
h
23
12
2 a 413
3
e 135
© Cengage Learning Australia Pty Ltd 2011
b 314
f 438
MAT07NASS10020
3
c 110
d 415
g 656
h 715
Number and Algebra: Real numbers
www.nelsonnet.com.au