Basic Math Examples

$(- \frac{1}{2} + 0.75) \div (\frac{3}{8} - \frac{1}{4})$

Step 1

Rewrite the division as a fraction.

$\frac{- \frac{1}{2} + 0.75}{\frac{3}{8} - \frac{1}{4}}$

Step 2

Multiply the numerator and denominator of the fraction by $8$ .

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Step 2.1

Multiply $\frac{- \frac{1}{2} + 0.75}{\frac{3}{8} - \frac{1}{4}}$ by $\frac{8}{8}$ .

$\frac{8}{8} \cdot \frac{- \frac{1}{2} + 0.75}{\frac{3}{8} - \frac{1}{4}}$

Step 2.2

Combine.

$\frac{8 (- \frac{1}{2} + 0.75)}{8 (\frac{3}{8} - \frac{1}{4})}$

Step 3

Apply the distributive property.

$\frac{8 (- \frac{1}{2}) + 8 \cdot 0.75}{8 (\frac{3}{8}) + 8 (- \frac{1}{4})}$

Step 4

Simplify by cancelling.

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Step 4.1

Cancel the common factor of $2$ .

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Step 4.1.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$\frac{8 (\frac{- 1}{2}) + 8 \cdot 0.75}{8 (\frac{3}{8}) + 8 (- \frac{1}{4})}$

Step 4.1.2

Factor $2$ out of $8$ .

$\frac{2 (4) \frac{- 1}{2} + 8 \cdot 0.75}{8 (\frac{3}{8}) + 8 (- \frac{1}{4})}$

Step 4.1.3

Cancel the common factor.

$\frac{2 \cdot 4 \frac{- 1}{2} + 8 \cdot 0.75}{8 (\frac{3}{8}) + 8 (- \frac{1}{4})}$

Step 4.1.4

Rewrite the expression.

$\frac{4 \cdot - 1 + 8 \cdot 0.75}{8 (\frac{3}{8}) + 8 (- \frac{1}{4})}$

Step 4.2

Multiply $4$ by $- 1$ .

$\frac{- 4 + 8 \cdot 0.75}{8 (\frac{3}{8}) + 8 (- \frac{1}{4})}$

Step 4.3

Cancel the common factor of $8$ .

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Step 4.3.1

Cancel the common factor.

$\frac{- 4 + 8 \cdot 0.75}{8 (\frac{3}{8}) + 8 (- \frac{1}{4})}$

Step 4.3.2

Rewrite the expression.

$\frac{- 4 + 8 \cdot 0.75}{3 + 8 (- \frac{1}{4})}$

Step 4.4

Cancel the common factor of $4$ .

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Step 4.4.1

Move the leading negative in $- \frac{1}{4}$ into the numerator.

$\frac{- 4 + 8 \cdot 0.75}{3 + 8 (\frac{- 1}{4})}$

Step 4.4.2

Factor $4$ out of $8$ .

$\frac{- 4 + 8 \cdot 0.75}{3 + 4 (2) \frac{- 1}{4}}$

Step 4.4.3

Cancel the common factor.

$\frac{- 4 + 8 \cdot 0.75}{3 + 4 \cdot 2 \frac{- 1}{4}}$

Step 4.4.4

Rewrite the expression.

$\frac{- 4 + 8 \cdot 0.75}{3 + 2 \cdot - 1}$

Step 4.5

Multiply $2$ by $- 1$ .

$\frac{- 4 + 8 \cdot 0.75}{3 - 2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $8$ by $0.75$ .

$\frac{- 4 + 6}{3 - 2}$

Step 5.2

Add $- 4$ and $6$ .

$\frac{2}{3 - 2}$

Step 6

Simplify the expression.

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Step 6.1

Subtract $2$ from $3$ .

$\frac{2}{1}$

Step 6.2

Divide $2$ by $1$ .

$2$