Math worksheet for converting improper fractions to mixed numbers.
Worksheet titled "Converting Fractions (A)" with math problems converting improper fractions to mixed numbers.
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Step-by-step solution for: Converting Improper Fractions to Mixed Fractions (A)
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Show Answer Key & Explanations
Step-by-step solution for: Converting Improper Fractions to Mixed Fractions (A)
To convert an improper fraction to a mixed number, you divide the numerator (top number) by the denominator (bottom number).
1. Divide the top number by the bottom number to get the whole number part.
2. The remainder becomes the new numerator.
3. The denominator stays the same.
Here are the solutions for each problem on the worksheet:
Row 1:
* $32 \div 9 = 3$ with a remainder of $5 \rightarrow \mathbf{3 \frac{5}{9}}$
* $67 \div 12 = 5$ with a remainder of $7 \rightarrow \mathbf{5 \frac{7}{12}}$
* $116 \div 15 = 7$ with a remainder of $11 \rightarrow \mathbf{7 \frac{11}{15}}$
* $34 \div 15 = 2$ with a remainder of $4 \rightarrow \mathbf{2 \frac{4}{15}}$
Row 2:
* $25 \div 12 = 2$ with a remainder of $1 \rightarrow \mathbf{2 \frac{1}{12}}$
* $41 \div 6 = 6$ with a remainder of $5 \rightarrow \mathbf{6 \frac{5}{6}}$
* $53 \div 7 = 7$ with a remainder of $4 \rightarrow \mathbf{7 \frac{4}{7}}$
* $25 \div 4 = 6$ with a remainder of $1 \rightarrow \mathbf{6 \frac{1}{4}}$
Row 3:
* $127 \div 15 = 8$ with a remainder of $7 \rightarrow \mathbf{8 \frac{7}{15}}$
* $21 \div 8 = 2$ with a remainder of $5 \rightarrow \mathbf{2 \frac{5}{8}}$
* $15 \div 4 = 3$ with a remainder of $3 \rightarrow \mathbf{3 \frac{3}{4}}$
* $33 \div 10 = 3$ with a remainder of $3 \rightarrow \mathbf{3 \frac{3}{10}}$
Row 4:
* $25 \div 9 = 2$ with a remainder of $7 \rightarrow \mathbf{2 \frac{7}{9}}$
* $38 \div 7 = 5$ with a remainder of $3 \rightarrow \mathbf{5 \frac{3}{7}}$
* $99 \div 10 = 9$ with a remainder of $9 \rightarrow \mathbf{9 \frac{9}{10}}$
* $44 \div 5 = 8$ with a remainder of $4 \rightarrow \mathbf{8 \frac{4}{5}}$
Row 5:
* $53 \div 15 = 3$ with a remainder of $8 \rightarrow \mathbf{3 \frac{8}{15}}$
* $41 \div 8 = 5$ with a remainder of $1 \rightarrow \mathbf{5 \frac{1}{8}}$
* $64 \div 9 = 7$ with a remainder of $1 \rightarrow \mathbf{7 \frac{1}{9}}$
* $57 \div 10 = 5$ with a remainder of $7 \rightarrow \mathbf{5 \frac{7}{10}}$
Row 6:
* $16 \div 7 = 2$ with a remainder of $2 \rightarrow \mathbf{2 \frac{2}{7}}$
* $56 \div 9 = 6$ with a remainder of $2 \rightarrow \mathbf{6 \frac{2}{9}}$
* $21 \div 10 = 2$ with a remainder of $1 \rightarrow \mathbf{2 \frac{1}{10}}$
* $67 \div 8 = 8$ with a remainder of $3 \rightarrow \mathbf{8 \frac{3}{8}}$
Row 7:
* $12 \div 7 = 1$ with a remainder of $5 \rightarrow \mathbf{1 \frac{5}{7}}$
* $83 \div 12 = 6$ with a remainder of $11 \rightarrow \mathbf{6 \frac{11}{12}}$
* $36 \div 7 = 5$ with a remainder of $1 \rightarrow \mathbf{5 \frac{1}{7}}$
* $19 \div 6 = 3$ with a remainder of $1 \rightarrow \mathbf{3 \frac{1}{6}}$
Row 8:
* $13 \div 2 = 6$ with a remainder of $1 \rightarrow \mathbf{6 \frac{1}{2}}$
* $22 \div 3 = 7$ with a remainder of $1 \rightarrow \mathbf{7 \frac{1}{3}}$
* $23 \div 5 = 4$ with a remainder of $3 \rightarrow \mathbf{4 \frac{3}{5}}$
* $20 \div 7 = 2$ with a remainder of $6 \rightarrow \mathbf{2 \frac{6}{7}}$
Row 9:
* $76 \div 15 = 5$ with a remainder of $1 \rightarrow \mathbf{5 \frac{1}{15}}$
* $85 \div 9 = 9$ with a remainder of $4 \rightarrow \mathbf{9 \frac{4}{9}}$
* $80 \div 9 = 8$ with a remainder of $8 \rightarrow \mathbf{8 \frac{8}{9}}$
* $41 \div 12 = 3$ with a remainder of $5 \rightarrow \mathbf{3 \frac{5}{12}}$
Row 10:
* $6 \div 5 = 1$ with a remainder of $1 \rightarrow \mathbf{1 \frac{1}{5}}$
* $107 \div 15 = 7$ with a remainder of $2 \rightarrow \mathbf{7 \frac{2}{15}}$
* $63 \div 8 = 7$ with a remainder of $7 \rightarrow \mathbf{7 \frac{7}{8}}$
* $37 \div 5 = 7$ with a remainder of $2 \rightarrow \mathbf{7 \frac{2}{5}}$
Final Answer:
32/9 = 3 5/9
67/12 = 5 7/12
116/15 = 7 11/15
34/15 = 2 4/15
25/12 = 2 1/12
41/6 = 6 5/6
53/7 = 7 4/7
25/4 = 6 1/4
127/15 = 8 7/15
21/8 = 2 5/8
15/4 = 3 3/4
33/10 = 3 3/10
25/9 = 2 7/9
38/7 = 5 3/7
99/10 = 9 9/10
44/5 = 8 4/5
53/15 = 3 8/15
41/8 = 5 1/8
64/9 = 7 1/9
57/10 = 5 7/10
16/7 = 2 2/7
56/9 = 6 2/9
21/10 = 2 1/10
67/8 = 8 3/8
12/7 = 1 5/7
83/12 = 6 11/12
36/7 = 5 1/7
19/6 = 3 1/6
13/2 = 6 1/2
22/3 = 7 1/3
23/5 = 4 3/5
20/7 = 2 6/7
76/15 = 5 1/15
85/9 = 9 4/9
80/9 = 8 8/9
41/12 = 3 5/12
6/5 = 1 1/5
107/15 = 7 2/15
63/8 = 7 7/8
37/5 = 7 2/5
1. Divide the top number by the bottom number to get the whole number part.
2. The remainder becomes the new numerator.
3. The denominator stays the same.
Here are the solutions for each problem on the worksheet:
Row 1:
* $32 \div 9 = 3$ with a remainder of $5 \rightarrow \mathbf{3 \frac{5}{9}}$
* $67 \div 12 = 5$ with a remainder of $7 \rightarrow \mathbf{5 \frac{7}{12}}$
* $116 \div 15 = 7$ with a remainder of $11 \rightarrow \mathbf{7 \frac{11}{15}}$
* $34 \div 15 = 2$ with a remainder of $4 \rightarrow \mathbf{2 \frac{4}{15}}$
Row 2:
* $25 \div 12 = 2$ with a remainder of $1 \rightarrow \mathbf{2 \frac{1}{12}}$
* $41 \div 6 = 6$ with a remainder of $5 \rightarrow \mathbf{6 \frac{5}{6}}$
* $53 \div 7 = 7$ with a remainder of $4 \rightarrow \mathbf{7 \frac{4}{7}}$
* $25 \div 4 = 6$ with a remainder of $1 \rightarrow \mathbf{6 \frac{1}{4}}$
Row 3:
* $127 \div 15 = 8$ with a remainder of $7 \rightarrow \mathbf{8 \frac{7}{15}}$
* $21 \div 8 = 2$ with a remainder of $5 \rightarrow \mathbf{2 \frac{5}{8}}$
* $15 \div 4 = 3$ with a remainder of $3 \rightarrow \mathbf{3 \frac{3}{4}}$
* $33 \div 10 = 3$ with a remainder of $3 \rightarrow \mathbf{3 \frac{3}{10}}$
Row 4:
* $25 \div 9 = 2$ with a remainder of $7 \rightarrow \mathbf{2 \frac{7}{9}}$
* $38 \div 7 = 5$ with a remainder of $3 \rightarrow \mathbf{5 \frac{3}{7}}$
* $99 \div 10 = 9$ with a remainder of $9 \rightarrow \mathbf{9 \frac{9}{10}}$
* $44 \div 5 = 8$ with a remainder of $4 \rightarrow \mathbf{8 \frac{4}{5}}$
Row 5:
* $53 \div 15 = 3$ with a remainder of $8 \rightarrow \mathbf{3 \frac{8}{15}}$
* $41 \div 8 = 5$ with a remainder of $1 \rightarrow \mathbf{5 \frac{1}{8}}$
* $64 \div 9 = 7$ with a remainder of $1 \rightarrow \mathbf{7 \frac{1}{9}}$
* $57 \div 10 = 5$ with a remainder of $7 \rightarrow \mathbf{5 \frac{7}{10}}$
Row 6:
* $16 \div 7 = 2$ with a remainder of $2 \rightarrow \mathbf{2 \frac{2}{7}}$
* $56 \div 9 = 6$ with a remainder of $2 \rightarrow \mathbf{6 \frac{2}{9}}$
* $21 \div 10 = 2$ with a remainder of $1 \rightarrow \mathbf{2 \frac{1}{10}}$
* $67 \div 8 = 8$ with a remainder of $3 \rightarrow \mathbf{8 \frac{3}{8}}$
Row 7:
* $12 \div 7 = 1$ with a remainder of $5 \rightarrow \mathbf{1 \frac{5}{7}}$
* $83 \div 12 = 6$ with a remainder of $11 \rightarrow \mathbf{6 \frac{11}{12}}$
* $36 \div 7 = 5$ with a remainder of $1 \rightarrow \mathbf{5 \frac{1}{7}}$
* $19 \div 6 = 3$ with a remainder of $1 \rightarrow \mathbf{3 \frac{1}{6}}$
Row 8:
* $13 \div 2 = 6$ with a remainder of $1 \rightarrow \mathbf{6 \frac{1}{2}}$
* $22 \div 3 = 7$ with a remainder of $1 \rightarrow \mathbf{7 \frac{1}{3}}$
* $23 \div 5 = 4$ with a remainder of $3 \rightarrow \mathbf{4 \frac{3}{5}}$
* $20 \div 7 = 2$ with a remainder of $6 \rightarrow \mathbf{2 \frac{6}{7}}$
Row 9:
* $76 \div 15 = 5$ with a remainder of $1 \rightarrow \mathbf{5 \frac{1}{15}}$
* $85 \div 9 = 9$ with a remainder of $4 \rightarrow \mathbf{9 \frac{4}{9}}$
* $80 \div 9 = 8$ with a remainder of $8 \rightarrow \mathbf{8 \frac{8}{9}}$
* $41 \div 12 = 3$ with a remainder of $5 \rightarrow \mathbf{3 \frac{5}{12}}$
Row 10:
* $6 \div 5 = 1$ with a remainder of $1 \rightarrow \mathbf{1 \frac{1}{5}}$
* $107 \div 15 = 7$ with a remainder of $2 \rightarrow \mathbf{7 \frac{2}{15}}$
* $63 \div 8 = 7$ with a remainder of $7 \rightarrow \mathbf{7 \frac{7}{8}}$
* $37 \div 5 = 7$ with a remainder of $2 \rightarrow \mathbf{7 \frac{2}{5}}$
Final Answer:
32/9 = 3 5/9
67/12 = 5 7/12
116/15 = 7 11/15
34/15 = 2 4/15
25/12 = 2 1/12
41/6 = 6 5/6
53/7 = 7 4/7
25/4 = 6 1/4
127/15 = 8 7/15
21/8 = 2 5/8
15/4 = 3 3/4
33/10 = 3 3/10
25/9 = 2 7/9
38/7 = 5 3/7
99/10 = 9 9/10
44/5 = 8 4/5
53/15 = 3 8/15
41/8 = 5 1/8
64/9 = 7 1/9
57/10 = 5 7/10
16/7 = 2 2/7
56/9 = 6 2/9
21/10 = 2 1/10
67/8 = 8 3/8
12/7 = 1 5/7
83/12 = 6 11/12
36/7 = 5 1/7
19/6 = 3 1/6
13/2 = 6 1/2
22/3 = 7 1/3
23/5 = 4 3/5
20/7 = 2 6/7
76/15 = 5 1/15
85/9 = 9 4/9
80/9 = 8 8/9
41/12 = 3 5/12
6/5 = 1 1/5
107/15 = 7 2/15
63/8 = 7 7/8
37/5 = 7 2/5
Parent Tip: Review the logic above to help your child master the concept of convert mixed numbers to improper fractions worksheet.