The solution to 21\div 3/4 is 28

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21\div 3/4

Solution

21 \div \frac{3}{4}

28

Solution steps

21 \div \frac{3}{4}

Convert element to fraction:

21 = \frac{21}{1}

= \frac{21}{1} \div \frac{3}{4}

Apply the fraction rule:

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

= \frac{21}{1} \times \frac{4}{3}

Cross-cancel common factor:

3

= \frac{7}{1} \times \frac{4}{1}

Multiply fractions:

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

= \frac{7 \times 4}{1 \times 1}

Multiply the numbers:

7 \times 4 = 28

= \frac{28}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{28}{1}

Apply rule

\frac{a}{1} = a

= 28

- \frac{1}{4} - 6

\frac{68}{17}

- \frac{1}{5} - 5

3135

64 - 27 c^{3}