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Juliette [100K]
3 years ago
10

How do you solve 3/5×4 1/6?

Mathematics
1 answer:
Helen [10]3 years ago
5 0
\frac{3}{5} × 4 \frac{1}{6}

First, convert 4\frac{1}{6} to an improper fraction. Use this rule: a \frac{b}{c} = \frac{ac+b}{c} / Your problem should look like: \frac{3}{5} × \frac{4x6+1}{6}
Second, simplify 4 × 6 to 24. / Your problem should look like: \frac{3}{5} × \frac{24+1}{6} 
Third, simplify 24 + 1 to 25. / Your problem should look like: \frac{3}{5} × \frac{25}{6}
Fourth, apply this rule: \frac{a}{b} × \frac{c}{d} = \frac{ac}{bd} / Your problem should look like: \frac{3x25}{5x6}
Fifth, simplify 3 × 25 to 75. / Your problem should look like: \frac{75}{5x6}
Sixth, simplify 5 × 6 to 30. / Your problem should look like: \frac{75}{30}
Seventh, simplify. / Your problem should look like: \frac{5}{2}
Eighth, convert to mixed fraction. / Your problem should look like: 2\frac{1}{2}

Answer: 2 \frac{1}{2}

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