What is 34\div 2 5/6 ?

The solution to 34\div 2 5/6 is 12

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34\div 2 5/6

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

12

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{5}{6} = \frac{17}{6}

= 34 \div \frac{17}{6}

Convert element to fraction:

34 = \frac{34}{1}

= \frac{34}{1} \div \frac{17}{6}

Apply the fraction rule:

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

= \frac{34}{1} \times \frac{6}{17}

Cross-cancel common factor:

17

= \frac{2}{1} \times \frac{6}{1}

Multiply fractions:

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

= \frac{2 \times 6}{1 \times 1}

Multiply the numbers:

2 \times 6 = 12

= \frac{12}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{12}{1}

Apply rule

\frac{a}{1} = a

= 12

14 x^{3} - 7 x^{2} - 21 x

11 x^{4} + 7 x^{5}

10 (- 5 x + 4)

18 - 12

6 \cdot 2