What is 8\div 1 4/5 ?

The solution to 8\div 1 4/5 is 4 4/9

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8\div 1 4/5

8 \div 1 \frac{4}{5}

4 \frac{4}{9}

Solution steps

8 \div 1 \frac{4}{5}

Convert mixed numbers to improper fractions:

1 \frac{4}{5} = \frac{9}{5}

= 8 \div \frac{9}{5}

Convert element to fraction:

8 = \frac{8}{1}

= \frac{8}{1} \div \frac{9}{5}

Apply the fraction rule:

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

= \frac{8}{1} \times \frac{5}{9}

Multiply fractions:

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

= \frac{8 \times 5}{1 \times 9}

Multiply the numbers:

8 \times 5 = 40

= \frac{40}{1 \times 9}

Multiply the numbers:

1 \times 9 = 9

= \frac{40}{9}

Convert improper fractions to mixed numbers:

\frac{40}{9} = 4 \frac{4}{9}

= 4 \frac{4}{9}

\frac{6}{20}

(x - 2) \times (x + 3)

\frac{3}{8} \cdot 24

- \frac{7}{2} + 1

(- 4 m^{2}) (- 5 m n^{2} p)