Worksheets for fraction addition - Free Printable

Let's solve each problem step by step. The task is to multiply mixed numbers. To do this, we follow these steps:

Steps to Multiply Mixed Numbers:

1. Convert each mixed number to an improper fraction.
2. Multiply the two improper fractions.
3. Simplify the result (if needed).
4. Convert back to a mixed number (if needed).

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We'll go through each problem one by one.

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1) $ 1 \frac{1}{4} \times 2 \frac{1}{3} $

- Convert to improper fractions:
- $ 1 \frac{1}{4} = \frac{5}{4} $
- $ 2 \frac{1}{3} = \frac{7}{3} $
- Multiply:
$$
\frac{5}{4} \times \frac{7}{3} = \frac{35}{12}
$$
- Convert to mixed number:
$ \frac{35}{12} = 2 \frac{11}{12} $

✔ Answer: $ 2 \frac{11}{12} $

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2) $ 3 \frac{3}{4} \times 2 \frac{1}{4} $

- Convert:
- $ 3 \frac{3}{4} = \frac{15}{4} $
- $ 2 \frac{1}{4} = \frac{9}{4} $
- Multiply:
$$
\frac{15}{4} \times \frac{9}{4} = \frac{135}{16}
$$
- Convert:
$ \frac{135}{16} = 8 \frac{7}{16} $

✔ Answer: $ 8 \frac{7}{16} $

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3) $ 2 \frac{3}{6} \times 5 \frac{1}{2} $

First, simplify $ 2 \frac{3}{6} $ → $ 2 \frac{1}{2} $ (since $ \frac{3}{6} = \frac{1}{2} $)

- Convert:
- $ 2 \frac{1}{2} = \frac{5}{2} $
- $ 5 \frac{1}{2} = \frac{11}{2} $
- Multiply:
$$
\frac{5}{2} \times \frac{11}{2} = \frac{55}{4}
$$
- Convert:
$ \frac{55}{4} = 13 \frac{3}{4} $

✔ Answer: $ 13 \frac{3}{4} $

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4) $ 4 \frac{4}{7} \times 2 \frac{1}{2} $

- Convert:
- $ 4 \frac{4}{7} = \frac{32}{7} $
- $ 2 \frac{1}{2} = \frac{5}{2} $
- Multiply:
$$
\frac{32}{7} \times \frac{5}{2} = \frac{160}{14}
$$
- Simplify:
$ \frac{160}{14} = \frac{80}{7} $
- Convert:
$ \frac{80}{7} = 11 \frac{3}{7} $

✔ Answer: $ 11 \frac{3}{7} $

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5) $ 3 \frac{1}{3} \times 5 \frac{1}{4} $

- Convert:
- $ 3 \frac{1}{3} = \frac{10}{3} $
- $ 5 \frac{1}{4} = \frac{21}{4} $
- Multiply:
$$
\frac{10}{3} \times \frac{21}{4} = \frac{210}{12}
$$
- Simplify:
$ \frac{210}{12} = \frac{35}{2} $
- Convert:
$ \frac{35}{2} = 17 \frac{1}{2} $

✔ Answer: $ 17 \frac{1}{2} $

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6) $ 1 \frac{1}{10} \times 1 \frac{2}{3} $

- Convert:
- $ 1 \frac{1}{10} = \frac{11}{10} $
- $ 1 \frac{2}{3} = \frac{5}{3} $
- Multiply:
$$
\frac{11}{10} \times \frac{5}{3} = \frac{55}{30}
$$
- Simplify:
$ \frac{55}{30} = \frac{11}{6} $
- Convert:
$ \frac{11}{6} = 1 \frac{5}{6} $

✔ Answer: $ 1 \frac{5}{6} $

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7) $ 2 \frac{3}{10} \times 4 \frac{6}{11} $

- Convert:
- $ 2 \frac{3}{10} = \frac{23}{10} $
- $ 4 \frac{6}{11} = \frac{50}{11} $
- Multiply:
$$
\frac{23}{10} \times \frac{50}{11} = \frac{1150}{110}
$$
- Simplify:
Divide numerator and denominator by 10: $ \frac{115}{11} $
- Convert:
$ \frac{115}{11} = 10 \frac{5}{11} $

✔ Answer: $ 10 \frac{5}{11} $

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8) $ 5 \frac{5}{9} \times 1 \frac{7}{12} $

- Convert:
- $ 5 \frac{5}{9} = \frac{50}{9} $
- $ 1 \frac{7}{12} = \frac{19}{12} $
- Multiply:
$$
\frac{50}{9} \times \frac{19}{12} = \frac{950}{108}
$$
- Simplify:
Divide numerator and denominator by 2: $ \frac{475}{54} $
- Convert:
$ \frac{475}{54} = 8 \frac{43}{54} $

✔ Answer: $ 8 \frac{43}{54} $

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✔ Final Answers:

1) $ 2 \frac{11}{12} $
2) $ 8 \frac{7}{16} $
3) $ 13 \frac{3}{4} $
4) $ 11 \frac{3}{7} $
5) $ 17 \frac{1}{2} $
6) $ 1 \frac{5}{6} $
7) $ 10 \frac{5}{11} $
8) $ 8 \frac{43}{54} $

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