Basic Math Examples

$(- \frac{3}{2} + 0.75) - (- \frac{1}{4} + 0.25)$

Step 1

Find the common denominator.

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Step 1.1

Write $0.75$ as a fraction with denominator $1$ .

$- \frac{3}{2} + \frac{0.75}{1} - (- \frac{1}{4} + 0.25)$

Step 1.2

Multiply $\frac{0.75}{1}$ by $\frac{2}{2}$ .

$- \frac{3}{2} + \frac{0.75}{1} \cdot \frac{2}{2} - (- \frac{1}{4} + 0.25)$

Step 1.3

Multiply $\frac{0.75}{1}$ by $\frac{2}{2}$ .

$- \frac{3}{2} + \frac{0.75 \cdot 2}{2} - (- \frac{1}{4} + 0.25)$

Step 1.4

Write $- (- \frac{1}{4} + 0.25)$ as a fraction with denominator $1$ .

$- \frac{3}{2} + \frac{0.75 \cdot 2}{2} + \frac{- (- \frac{1}{4} + 0.25)}{1}$

Step 1.5

Multiply $\frac{- (- \frac{1}{4} + 0.25)}{1}$ by $\frac{2}{2}$ .

$- \frac{3}{2} + \frac{0.75 \cdot 2}{2} + \frac{- (- \frac{1}{4} + 0.25)}{1} \cdot \frac{2}{2}$

Step 1.6

Multiply $\frac{- (- \frac{1}{4} + 0.25)}{1}$ by $\frac{2}{2}$ .

$- \frac{3}{2} + \frac{0.75 \cdot 2}{2} + \frac{- (- \frac{1}{4} + 0.25) \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 3 + 0.75 \cdot 2 - (- \frac{1}{4} + 0.25) \cdot 2}{2}$

Step 3

Simplify each term.

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Step 3.1

Multiply $0.75$ by $2$ .

$\frac{- 3 + 1.5 - (- \frac{1}{4} + 0.25) \cdot 2}{2}$

Step 3.2

To write $0.25$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{- 3 + 1.5 - (- \frac{1}{4} + 0.25 \cdot \frac{4}{4}) \cdot 2}{2}$

Step 3.3

Combine $0.25$ and $\frac{4}{4}$ .

$\frac{- 3 + 1.5 - (- \frac{1}{4} + \frac{0.25 \cdot 4}{4}) \cdot 2}{2}$

Step 3.4

Combine the numerators over the common denominator.

$\frac{- 3 + 1.5 - \frac{- 1 + 0.25 \cdot 4}{4} \cdot 2}{2}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $0.25$ by $4$ .

$\frac{- 3 + 1.5 - \frac{- 1 + 1}{4} \cdot 2}{2}$

Step 3.5.2

Add $- 1$ and $1$ .

$\frac{- 3 + 1.5 - \frac{0}{4} \cdot 2}{2}$

Step 3.6

Cancel the common factor of $2$ .

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Step 3.6.1

Move the leading negative in $- \frac{0}{4}$ into the numerator.

$\frac{- 3 + 1.5 + \frac{0}{4} \cdot 2}{2}$

Step 3.6.2

Factor $2$ out of $4$ .

$\frac{- 3 + 1.5 + \frac{0}{2 (2)} \cdot 2}{2}$

Step 3.6.3

Cancel the common factor.

$\frac{- 3 + 1.5 + \frac{0}{2 \cdot 2} \cdot 2}{2}$

Step 3.6.4

Rewrite the expression.

$\frac{- 3 + 1.5 + \frac{0}{2}}{2}$

Step 3.7

Divide $0$ by $2$ .

$\frac{- 3 + 1.5 + 0}{2}$

Step 4

Simplify the expression.

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Step 4.1

Add $- 3$ and $1.5$ .

$\frac{- 1.5 + 0}{2}$

Step 4.2

Add $- 1.5$ and $0$ .

$\frac{- 1.5}{2}$

Step 4.3

Divide $- 1.5$ by $2$ .

$- 0.75$