What is 14\div 6 2/5 ?

The solution to 14\div 6 2/5 is 2 3/16

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14\div 6 2/5

14 \div 6 \frac{2}{5}

2 \frac{3}{16}

Solution steps

14 \div 6 \frac{2}{5}

Convert mixed numbers to improper fractions:

6 \frac{2}{5} = \frac{32}{5}

= 14 \div \frac{32}{5}

Convert element to fraction:

14 = \frac{14}{1}

= \frac{14}{1} \div \frac{32}{5}

Apply the fraction rule:

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

= \frac{14}{1} \times \frac{5}{32}

Cross-cancel common factor:

2

= \frac{7}{1} \times \frac{5}{16}

Multiply fractions:

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

= \frac{7 \times 5}{1 \times 16}

Multiply the numbers:

7 \times 5 = 35

= \frac{35}{1 \times 16}

Multiply the numbers:

1 \times 16 = 16

= \frac{35}{16}

Convert improper fractions to mixed numbers:

\frac{35}{16} = 2 \frac{3}{16}

= 2 \frac{3}{16}

\frac{6}{4 i}

\frac{6}{51}

\frac{112}{32}

(x + 2)^{- 1}

\frac{2}{7} \times \frac{2}{7}