What is 8/12 \div 8 3/4 \div 24/16 \div 12 ?

The solution to 8/12 \div 8 3/4 \div 24/16 \div 12 is 4/945

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8/12 \div 8 3/4 \div 24/16 \div 12

\frac{8}{12} \div 8 \frac{3}{4} \div \frac{24}{16} \div 12

\frac{4}{945}

Solution steps

\frac{8}{12} \div 8 \frac{3}{4} \div \frac{24}{16} \div 12

Convert mixed numbers to improper fractions:

8 \frac{3}{4} = \frac{35}{4}

= \frac{8}{12} \div \frac{35}{4} \div \frac{24}{16} \div 12

Apply the fraction rule:

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

= \frac{8}{12} \times \frac{4}{35} \div \frac{24}{16} \div 12

Apply the fraction rule:

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

= \frac{8}{12} \times \frac{4}{35} \times \frac{16}{24} \div 12

Convert element to fraction:

12 = \frac{12}{1}

= \frac{8}{12} \times \frac{4}{35} \times \frac{16}{24} \div \frac{12}{1}

Apply the fraction rule:

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

= \frac{8}{12} \times \frac{4}{35} \times \frac{16}{24} \times \frac{1}{12}

\frac{8}{12} = \frac{2}{3}

= \frac{2}{3} \times \frac{4}{35} \times \frac{1}{12} \times \frac{16}{24}

\frac{16}{24} = \frac{2}{3}

= \frac{2}{3} \times \frac{2}{3} \times \frac{4}{35} \times \frac{1}{12}

Multiply fractions:

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

= \frac{2 \times 4 \times 2 \times 1}{3 \times 35 \times 3 \times 12}

Multiply the numbers:

2 \times 4 \times 2 \times 1 = 16

= \frac{16}{3 \times 35 \times 3 \times 12}

Multiply the numbers:

3 \times 35 \times 3 \times 12 = 3780

= \frac{16}{3780}

Cancel the common factor:

4

= \frac{4}{945}

3^{- 2} + 4^{- 2}

\frac{8}{3} \cdot 3

3 x^{2} y^{- 3}

x^{5} - x^{2} + 9 x^{3} - 9

35 + 645

What is 8/12 \div 8 3/4 \div 24/16 \div 12 ?
The solution to 8/12 \div 8 3/4 \div 24/16 \div 12 is 4/945