What is 7/8 \div 21/16 ?

The solution to 7/8 \div 21/16 is 2/3

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7/8 \div 21/16

\frac{7}{8} \div \frac{21}{16}

\frac{2}{3}

Solution steps

\frac{7}{8} \div \frac{21}{16}

Apply the fraction rule:

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

= \frac{7}{8} \times \frac{16}{21}

Multiply fractions:

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

= \frac{7 \times 16}{8 \times 21}

Multiply the numbers:

7 \times 16 = 112

= \frac{112}{8 \times 21}

Multiply the numbers:

8 \times 21 = 168

= \frac{112}{168}

Cancel the common factor:

56

= \frac{2}{3}

2 (6 + 12)

(x - 5) (4 x^{2} - 2 x + 1)

4 (8 x + 1) - 6 (1 - 8 x)

\frac{1}{1 + 4 i} + \frac{1}{1 + 5 i}

32.5