What is (-2-1/4)/(-2-1/2) ?

The solution to (-2-1/4)/(-2-1/2) is 9/10

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(-2-1/4)/(-2-1/2)

\frac{- 2 - \frac{1}{4}}{- 2 - \frac{1}{2}}

\frac{9}{10}

Solution steps

\frac{- 2 - \frac{1}{4}}{- 2 - \frac{1}{2}}

Solve

- 2 - \frac{1}{4} : - \frac{9}{4}

- 2 - \frac{1}{4} = - \frac{9}{4}

= - \frac{9}{4}

Solve

- 2 - \frac{1}{2} : - \frac{5}{2}

Follow the PEMDAS order of operations

- 2 - \frac{1}{2} = - \frac{5}{2}

= - \frac{5}{2}

= \frac{- \frac{9}{4}}{- \frac{5}{2}}

Simplify

\frac{- \frac{9}{4}}{- \frac{5}{2}} : \frac{9}{10}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{\frac{9}{4}}{\frac{5}{2}}

Divide fractions:

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

= \frac{9 \cdot 2}{4 \cdot 5}

Multiply the numbers:

4 \cdot 5 = 20

= \frac{9 \cdot 2}{20}

Multiply the numbers:

9 \cdot 2 = 18

= \frac{18}{20}

Cancel the common factor:

2

= \frac{9}{10}

= \frac{9}{10}

(- 3)^{2} + 4 (- 3) + 3

\frac{1}{2} (4 + 5)^{2}

\frac{1}{2} \times 3 \times (5 + 7)

- (- 3) + (- 4) + 5 + (- 2)

2 (2 - (- 3 + 6)) - 3