What is 4/6 \div 1 2/3 ?

The solution to 4/6 \div 1 2/3 is 2/5

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4/6 \div 1 2/3

\frac{4}{6} \div 1 \frac{2}{3}

\frac{2}{5}

Solution steps

\frac{4}{6} \div 1 \frac{2}{3}

Convert mixed numbers to improper fractions:

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

= \frac{4}{6} \div \frac{5}{3}

Apply the fraction rule:

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

= \frac{4}{6} \times \frac{3}{5}

Cross-cancel common factor:

3

= \frac{4}{2} \times \frac{1}{5}

Multiply fractions:

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

= \frac{4 \times 1}{2 \times 5}

Multiply the numbers:

4 \times 1 = 4

= \frac{4}{2 \times 5}

Multiply the numbers:

2 \times 5 = 10

= \frac{4}{10}

Cancel the common factor:

2

= \frac{2}{5}

x^{5} + 32 y^{5}

- \frac{16}{72}

x^{6} - 144 y^{4}

\frac{3}{4} (- 2)

(16 x^{4} y^{5})^{\frac{1}{4}}