What is 6 3/4 \div 2 5/8 ?

The solution to 6 3/4 \div 2 5/8 is 2 4/7

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6 3/4 \div 2 5/8

6 \frac{3}{4} \div 2 \frac{5}{8}

2 \frac{4}{7}

Solution steps

6 \frac{3}{4} \div 2 \frac{5}{8}

Convert mixed numbers to improper fractions:

6 \frac{3}{4} = \frac{27}{4}

= \frac{27}{4} \div 2 \frac{5}{8}

Convert mixed numbers to improper fractions:

2 \frac{5}{8} = \frac{21}{8}

= \frac{27}{4} \div \frac{21}{8}

Apply the fraction rule:

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

= \frac{27}{4} \times \frac{8}{21}

Multiply fractions:

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

= \frac{27 \times 8}{4 \times 21}

Multiply the numbers:

27 \times 8 = 216

= \frac{216}{4 \times 21}

Multiply the numbers:

4 \times 21 = 84

= \frac{216}{84}

Cancel the common factor:

12

= \frac{18}{7}

Convert improper fractions to mixed numbers:

\frac{18}{7} = 2 \frac{4}{7}

= 2 \frac{4}{7}

40 \times 6

\frac{1}{2} - \frac{2}{5} + \frac{3}{4}

(x + 2) (x^{2} + 5 x + 2)

50 + 8

\frac{2}{5} - \frac{5}{6}