What is 4/9 \div 3 1/3 ?

The solution to 4/9 \div 3 1/3 is 2/15

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4/9 \div 3 1/3

\frac{4}{9} \div 3 \frac{1}{3}

\frac{2}{15}

Solution steps

\frac{4}{9} \div 3 \frac{1}{3}

Convert mixed numbers to improper fractions:

3 \frac{1}{3} = \frac{10}{3}

= \frac{4}{9} \div \frac{10}{3}

Apply the fraction rule:

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

= \frac{4}{9} \times \frac{3}{10}

Multiply fractions:

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

= \frac{4 \times 3}{9 \times 10}

Multiply the numbers:

4 \times 3 = 12

= \frac{12}{9 \times 10}

Multiply the numbers:

9 \times 10 = 90

= \frac{12}{90}

Cancel the common factor:

6

= \frac{2}{15}

\frac{- 11}{- 2}

- 4 (- 2 x + 3) + 3 (- 8 x - 4)

2 x + x - 4 y

24 x^{5} y^{6}

a^{2} + 16 a + 64