Basic Math Examples

$\frac{14}{3 - 5} + {(- 1)}^{3} + | 7 - 10 |$

Step 1

Find the common denominator.

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Step 1.1

Subtract $5$ from $3$ .

$\frac{14}{- 2} + {(- 1)}^{3} + | 7 - 10 |$

Step 1.2

Multiply $\frac{14}{- 2}$ by $\frac{- 1}{- 1}$ .

$\frac{14}{- 2} \cdot \frac{- 1}{- 1} + {(- 1)}^{3} + | 7 - 10 |$

Step 1.3

Multiply $\frac{14}{- 2}$ by $\frac{- 1}{- 1}$ .

$\frac{14 \cdot - 1}{- 2 \cdot - 1} + {(- 1)}^{3} + | 7 - 10 |$

Step 1.4

Write ${(- 1)}^{3}$ as a fraction with denominator $1$ .

$\frac{14 \cdot - 1}{- 2 \cdot - 1} + \frac{{(- 1)}^{3}}{1} + | 7 - 10 |$

Step 1.5

Multiply $\frac{{(- 1)}^{3}}{1}$ by $\frac{2}{2}$ .

$\frac{14 \cdot - 1}{- 2 \cdot - 1} + \frac{{(- 1)}^{3}}{1} \cdot \frac{2}{2} + | 7 - 10 |$

Step 1.6

Multiply $\frac{{(- 1)}^{3}}{1}$ by $\frac{2}{2}$ .

$\frac{14 \cdot - 1}{- 2 \cdot - 1} + \frac{{(- 1)}^{3} \cdot 2}{2} + | 7 - 10 |$

Step 1.7

Write $| 7 - 10 |$ as a fraction with denominator $1$ .

$\frac{14 \cdot - 1}{- 2 \cdot - 1} + \frac{{(- 1)}^{3} \cdot 2}{2} + \frac{| 7 - 10 |}{1}$

Step 1.8

Multiply $\frac{| 7 - 10 |}{1}$ by $\frac{2}{2}$ .

$\frac{14 \cdot - 1}{- 2 \cdot - 1} + \frac{{(- 1)}^{3} \cdot 2}{2} + \frac{| 7 - 10 |}{1} \cdot \frac{2}{2}$

Step 1.9

Multiply $\frac{| 7 - 10 |}{1}$ by $\frac{2}{2}$ .

$\frac{14 \cdot - 1}{- 2 \cdot - 1} + \frac{{(- 1)}^{3} \cdot 2}{2} + \frac{| 7 - 10 | \cdot 2}{2}$

Step 1.10

Multiply $- 2$ by $- 1$ .

$\frac{14 \cdot - 1}{2} + \frac{{(- 1)}^{3} \cdot 2}{2} + \frac{| 7 - 10 | \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{14 \cdot - 1 + {(- 1)}^{3} \cdot 2 + | 7 - 10 | \cdot 2}{2}$

Step 3

Simplify each term.

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Step 3.1

Multiply $14$ by $- 1$ .

$\frac{- 14 + {(- 1)}^{3} \cdot 2 + | 7 - 10 | \cdot 2}{2}$

Step 3.2

Raise $- 1$ to the power of $3$ .

$\frac{- 14 - 1 \cdot 2 + | 7 - 10 | \cdot 2}{2}$

Step 3.3

Multiply $- 1$ by $2$ .

$\frac{- 14 - 2 + | 7 - 10 | \cdot 2}{2}$

Step 3.4

Subtract $10$ from $7$ .

$\frac{- 14 - 2 + | - 3 | \cdot 2}{2}$

Step 3.5

The absolute value is the distance between a number and zero. The distance between $- 3$ and $0$ is $3$ .

$\frac{- 14 - 2 + 3 \cdot 2}{2}$

Step 3.6

Multiply $3$ by $2$ .

$\frac{- 14 - 2 + 6}{2}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $2$ from $- 14$ .

$\frac{- 16 + 6}{2}$

Step 4.2

Add $- 16$ and $6$ .

$\frac{- 10}{2}$

Step 4.3

Divide $- 10$ by $2$ .

$- 5$