Basic Math Examples

$\frac{1}{2} \cdot (- 5) - 2 \cdot 3.7 - \frac{5}{4}$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{1}{2}$ and $- 5$ .

$\frac{- 5}{2} - 2 \cdot 3.7 - \frac{5}{4}$

Step 1.2

Move the negative in front of the fraction.

$- \frac{5}{2} - 2 \cdot 3.7 - \frac{5}{4}$

Step 1.3

Multiply $- 2$ by $3.7$ .

$- \frac{5}{2} - 7.4 - \frac{5}{4}$

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{5}{2}$ by $\frac{2}{2}$ .

$- (\frac{5}{2} \cdot \frac{2}{2}) - 7.4 - \frac{5}{4}$

Step 2.2

Multiply $\frac{5}{2}$ by $\frac{2}{2}$ .

$- \frac{5 \cdot 2}{2 \cdot 2} - 7.4 - \frac{5}{4}$

Step 2.3

Write $- 7.4$ as a fraction with denominator $1$ .

$- \frac{5 \cdot 2}{2 \cdot 2} + \frac{- 7.4}{1} - \frac{5}{4}$

Step 2.4

Multiply $\frac{- 7.4}{1}$ by $\frac{4}{4}$ .

$- \frac{5 \cdot 2}{2 \cdot 2} + \frac{- 7.4}{1} \cdot \frac{4}{4} - \frac{5}{4}$

Step 2.5

Multiply $\frac{- 7.4}{1}$ by $\frac{4}{4}$ .

$- \frac{5 \cdot 2}{2 \cdot 2} + \frac{- 7.4 \cdot 4}{4} - \frac{5}{4}$

Step 2.6

Multiply $2$ by $2$ .

$- \frac{5 \cdot 2}{4} + \frac{- 7.4 \cdot 4}{4} - \frac{5}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 5 \cdot 2 - 7.4 \cdot 4 - 5}{4}$

Step 4

Simplify each term.

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Step 4.1

Multiply $- 5$ by $2$ .

$\frac{- 10 - 7.4 \cdot 4 - 5}{4}$

Step 4.2

Multiply $- 7.4$ by $4$ .

$\frac{- 10 - 29.6 - 5}{4}$

Step 5

Simplify the expression.

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Step 5.1

Subtract $29.6$ from $- 10$ .

$\frac{- 39.6 - 5}{4}$

Step 5.2

Subtract $5$ from $- 39.6$ .

$\frac{- 44.6}{4}$

Step 5.3

Divide $- 44.6$ by $4$ .

$- 11.15$