2. Rational numbers
2.04 Multiplying and dividing mixed numbers
Worksheet
1
What is a mixed number?
2
Write the following improper fractions as simplified mixed numbers:
a
\dfrac{125}{60}
b
\dfrac{85}{25}
c
\dfrac{15}{7}
d
\dfrac{21}{9}
e
\dfrac{40}{32}
f
\dfrac{125}{60}
g
\dfrac{44}{3}
h
\dfrac{215}{65}
3
Complete the table below:
| Mixed number | Improper fraction | Equivalent fraction |
|---|---|---|
| 2 \dfrac{1}{6} | ||
| 3 \dfrac{4}{5} | ||
| 4 \dfrac{2}{7} | ||
| 1 \dfrac{2}{5} | ||
| 6 \dfrac{1}{8} | ||
| 2 \dfrac{3}{8} | ||
| 3 \dfrac{3}{7} | ||
| 4 \dfrac{2}{9} | ||
| 5 \dfrac{1}{4} |
4
Simplify each expression, giving your answer as a mixed number:
a
4 \times 2\dfrac{2}{3}
b
1\dfrac{1}{10} \times 6
c
3 \times 3\dfrac{1}{2}
d
9 \times 5\dfrac{1}{2}
e
8 \times 2\dfrac{1}{5}
f
1\dfrac{2}{9} \times 6
g
1\dfrac{1}{6} \times 4
h
7\dfrac{5}{6} \times 10
5
Simplify each expression, giving your answer as a mixed number:
a
2\dfrac{3}{4} \times \dfrac{5}{7}
b
\dfrac{3}{4} \times 2\dfrac{4}{5}
c
\dfrac{6}{5} \times 1\dfrac{3}{5}
d
1\dfrac{5}{6} \times \dfrac{8}{3}
e
1\dfrac{3}{4} \times \dfrac{4}{9}
f
\dfrac{3}{4} \times 1\dfrac{3}{7}
g
\dfrac{1}{4} \times 4\dfrac{2}{5}
h
3\dfrac{1}{3} \times \dfrac{4}{7}
6
Simplify each expression, giving your answer as a mixed number:
a
2\dfrac{2}{5} \times 1\dfrac{3}{5}
b
3\dfrac{1}{3} \times 1\dfrac{5}{6}
c
1\dfrac{1}{7} \times 2\dfrac{2}{5}
d
3\dfrac{1}{3} \times 1\dfrac{3}{4}
e
4\dfrac{1}{2} \times 1\dfrac{5}{6}
f
2\dfrac{2}{3} \times 1\dfrac{1}{7}
g
2\dfrac{1}{2} \times 1\dfrac{2}{3}
h
2\dfrac{1}{4} \times 4\dfrac{5}{6}
7
Simplify each expression, giving your answer as a mixed number:
a
8 \div 2\dfrac{3}{4}
b
1\dfrac{1}{5} \div 12
c
8 \div 2\dfrac{1}{4}
d
5 \div 3\dfrac{2}{3}
e
3\dfrac{1}{9} \div 4
f
4\dfrac{1}{2} \div 3
g
1\dfrac{1}{5} \div 12
h
5\dfrac{2}{7} \div 3
8
Simplify each expression, giving your answer as a mixed number:
a
1\dfrac{1}{6} \div \dfrac{1}{8}
b
1\dfrac{1}{7} \div \dfrac{2}{5}
c
2\dfrac{3}{4} \div \dfrac{5}{3}
d
\dfrac{1}{4} \div 1\dfrac{2}{7}
e
\dfrac{7}{8} \div 2\dfrac{2}{5}
f
1\dfrac{2}{7} \div \dfrac{1}{7}
g
\dfrac{4}{9} \div 1\dfrac{2}{9}
h
\dfrac{25}{4} \div 1\dfrac{2}{3}
9
Simplify each expression, giving your answer as a mixed number:
a
8\dfrac{3}{4} \div 8\dfrac{3}{4}
b
3\dfrac{2}{3} \div 2\dfrac{1}{4}
c
5\dfrac{1}{7} \div 4\dfrac{4}{7}
d
3\dfrac{3}{7} \div 1\dfrac{3}{5}
e
2\dfrac{2}{5} \div 1\dfrac{2}{3}
f
1\dfrac{4}{5} \div 2\dfrac{7}{10}
g
10\dfrac{1}{2} \div 6\dfrac{6}{7}
h
8\dfrac{1}{2} \div 1\dfrac{5}{6}
10
Simplify each expression, giving your answer as a mixed number:
a
1\dfrac{1}{5} \times 3\dfrac{1}{4} \times 1\dfrac{1}{2}
b
3\dfrac{1}{8} \times 4\dfrac{2}{5} \times 5\dfrac{1}{3}
c
2\dfrac{3}{4} \times 2\dfrac{4}{7} \times 2\dfrac{1}{3}
d
5\dfrac{2}{5} \times 1\dfrac{2}{3} \times 6\dfrac{1}{4}
e
6\dfrac{1}{2} \div 1\dfrac{4}{5} \div 1\dfrac{1}{4}
f
5\dfrac{1}{2} \div 1\dfrac{1}{3} \div 2\dfrac{1}{4}
g
4\dfrac{3}{4} \div 2\dfrac{2}{5} \div 1\dfrac{2}{3}
h
4\dfrac{4}{5} \div 2\dfrac{1}{4} \div 1\dfrac{3}{10}
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