The solution to 6\div 4/5 is 15/2

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6\div 4/5

Solution

6 \div \frac{4}{5}

\frac{15}{2}

Solution steps

6 \div \frac{4}{5}

Convert element to fraction:

6 = \frac{6}{1}

= \frac{6}{1} \div \frac{4}{5}

Apply the fraction rule:

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

= \frac{6}{1} \times \frac{5}{4}

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

3 \times 5 = 15

= \frac{15}{1 \times 2}

Multiply the numbers:

1 \times 2 = 2

= \frac{15}{2}

\frac{2}{9} \div \frac{2}{3}

\frac{x ^{2} y ^{3}}{x y}

x^{3} x^{5}

\frac{x ^{3} y}{x y ^{5}}