What is 1 4/5 \div (17-8) ?

The solution to 1 4/5 \div (17-8) is 1/5

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1 4/5 \div (17-8)

1 \frac{4}{5} \div (17 - 8)

\frac{1}{5}

Solution steps

1 \frac{4}{5} \div (17 - 8)

Convert mixed numbers to improper fractions:

1 \frac{4}{5} = \frac{9}{5}

1 \frac{4}{5}

Convert mixed numbers to improper fraction:

a \frac{b}{c} = \frac{a \cdot c + b}{c}

1 \frac{4}{5} = \frac{1 \cdot 5 + 4}{5}

= \frac{9}{5}

= \frac{9}{5} \div (17 - 8)

Follow the PEMDAS order of operations

Calculate within parentheses

(17 - 8) : 9

17 - 8

17 - 8 = 9

= 9

= \frac{9}{5} \div 9

Multiply and divide (left to right)

\frac{9}{5} \div 9 : \frac{1}{5}

\frac{9}{5} \div 9

Convert element to fraction:

9 = \frac{9}{1}

= \frac{9}{5} \div \frac{9}{1}

Apply the fraction rule:

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

= \frac{9}{5} \cdot \frac{1}{9}

Cross-cancel:

9

= \frac{1}{5}

= \frac{1}{5}

14 - 25 + (32 \div (- 2)) (- 5) + 6 (- 1 - 3)^{2}

5 - 3 [7 + 6 (- 9 + 7)]

(32 + 10) \times 5

- (- 4) - 4 (- 4) - 3

0 \times 4 - 1 \times 4