What is 1 3/5 \div 5 1/3 ?

The solution to 1 3/5 \div 5 1/3 is 3/10

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1 3/5 \div 5 1/3

1 \frac{3}{5} \div 5 \frac{1}{3}

\frac{3}{10}

Solution steps

1 \frac{3}{5} \div 5 \frac{1}{3}

Convert mixed numbers to improper fractions:

1 \frac{3}{5} = \frac{8}{5}

= \frac{8}{5} \div 5 \frac{1}{3}

Convert mixed numbers to improper fractions:

5 \frac{1}{3} = \frac{16}{3}

= \frac{8}{5} \div \frac{16}{3}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{8}{5} \times \frac{3}{16}

Cross-cancel common factor:

8

= \frac{1}{5} \times \frac{3}{2}

Multiply fractions:

\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}

= \frac{1 \times 3}{5 \times 2}

Multiply the numbers:

1 \times 3 = 3

= \frac{3}{5 \times 2}

Multiply the numbers:

5 \times 2 = 10

= \frac{3}{10}

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