What is -[ 6/5 \div 9/10 ] ?

The solution to -[ 6/5 \div 9/10 ] is -4/3

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-[ 6/5 \div 9/10 ]

- [\frac{6}{5} \div \frac{9}{10}]

- \frac{4}{3}

Solution steps

- [\frac{6}{5} \div \frac{9}{10}]

Follow the PEMDAS order of operations

Calculate within parentheses

[\frac{6}{5} \div \frac{9}{10}] : \frac{4}{3}

\frac{6}{5} \div \frac{9}{10}

Multiply and divide (left to right)

Apply the fraction rule:

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

= \frac{6}{5} \cdot \frac{10}{9}

Multiply fractions:

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

= \frac{6 \cdot 10}{5 \cdot 9}

Multiply the numbers:

6 \cdot 10 = 60

= \frac{60}{5 \cdot 9}

Multiply the numbers:

5 \cdot 9 = 45

= \frac{60}{45}

Cancel the common factor:

15

= \frac{4}{3}

= - \frac{4}{3}

- 2 + (+ 5)^{2}

2 \div 1 0^{2}

5^{3} - 65 + 8

30 + (84 - (7 - 21))

6 ((6 + 4) - 5 (8 - 3))