Basic Math Examples

$\frac{- 10 - 14}{- 3} - 7 - 4 - 3 \cdot 7 - 2 {(- 8)}^{2}$

Step 1

Subtract $14$ from $- 10$ .

$\frac{- 24}{- 3} - 7 - 4 - 3 \cdot 7 - 2 {(- 8)}^{2}$

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{- 24}{- 3}$ by $\frac{- 1}{- 1}$ .

$\frac{- 24}{- 3} \cdot \frac{- 1}{- 1} - 7 - 4 - 3 \cdot 7 - 2 {(- 8)}^{2}$

Step 2.2

Multiply $\frac{- 24}{- 3}$ by $\frac{- 1}{- 1}$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} - 7 - 4 - 3 \cdot 7 - 2 {(- 8)}^{2}$

Step 2.3

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

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7}{1} - 4 - 3 \cdot 7 - 2 {(- 8)}^{2}$

Step 2.4

Multiply $\frac{- 7}{1}$ by $\frac{3}{3}$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7}{1} \cdot \frac{3}{3} - 4 - 3 \cdot 7 - 2 {(- 8)}^{2}$

Step 2.5

Multiply $\frac{- 7}{1}$ by $\frac{3}{3}$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7 \cdot 3}{3} - 4 - 3 \cdot 7 - 2 {(- 8)}^{2}$

Step 2.6

Write $- 4$ as a fraction with denominator $1$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7 \cdot 3}{3} + \frac{- 4}{1} - 3 \cdot 7 - 2 {(- 8)}^{2}$

Step 2.7

Multiply $\frac{- 4}{1}$ by $\frac{3}{3}$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7 \cdot 3}{3} + \frac{- 4}{1} \cdot \frac{3}{3} - 3 \cdot 7 - 2 {(- 8)}^{2}$

Step 2.8

Multiply $\frac{- 4}{1}$ by $\frac{3}{3}$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7 \cdot 3}{3} + \frac{- 4 \cdot 3}{3} - 3 \cdot 7 - 2 {(- 8)}^{2}$

Step 2.9

Write $- 3 \cdot 7$ as a fraction with denominator $1$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7 \cdot 3}{3} + \frac{- 4 \cdot 3}{3} + \frac{- 3 \cdot 7}{1} - 2 {(- 8)}^{2}$

Step 2.10

Multiply $\frac{- 3 \cdot 7}{1}$ by $\frac{3}{3}$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7 \cdot 3}{3} + \frac{- 4 \cdot 3}{3} + \frac{- 3 \cdot 7}{1} \cdot \frac{3}{3} - 2 {(- 8)}^{2}$

Step 2.11

Multiply $\frac{- 3 \cdot 7}{1}$ by $\frac{3}{3}$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7 \cdot 3}{3} + \frac{- 4 \cdot 3}{3} + \frac{- 3 \cdot 7 \cdot 3}{3} - 2 {(- 8)}^{2}$

Step 2.12

Write $- 2 {(- 8)}^{2}$ as a fraction with denominator $1$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7 \cdot 3}{3} + \frac{- 4 \cdot 3}{3} + \frac{- 3 \cdot 7 \cdot 3}{3} + \frac{- 2 {(- 8)}^{2}}{1}$

Step 2.13

Multiply $\frac{- 2 {(- 8)}^{2}}{1}$ by $\frac{3}{3}$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7 \cdot 3}{3} + \frac{- 4 \cdot 3}{3} + \frac{- 3 \cdot 7 \cdot 3}{3} + \frac{- 2 {(- 8)}^{2}}{1} \cdot \frac{3}{3}$

Step 2.14

Multiply $\frac{- 2 {(- 8)}^{2}}{1}$ by $\frac{3}{3}$ .

$\frac{- 24 \cdot - 1}{- 3 \cdot - 1} + \frac{- 7 \cdot 3}{3} + \frac{- 4 \cdot 3}{3} + \frac{- 3 \cdot 7 \cdot 3}{3} + \frac{- 2 {(- 8)}^{2} \cdot 3}{3}$

Step 2.15

Multiply $- 3$ by $- 1$ .

$\frac{- 24 \cdot - 1}{3} + \frac{- 7 \cdot 3}{3} + \frac{- 4 \cdot 3}{3} + \frac{- 3 \cdot 7 \cdot 3}{3} + \frac{- 2 {(- 8)}^{2} \cdot 3}{3}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 24 \cdot - 1 - 7 \cdot 3 - 4 \cdot 3 - 3 \cdot 7 \cdot 3 - 2 {(- 8)}^{2} \cdot 3}{3}$

Step 4

Simplify each term.

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Step 4.1

Multiply $- 24$ by $- 1$ .

$\frac{24 - 7 \cdot 3 - 4 \cdot 3 - 3 \cdot 7 \cdot 3 - 2 {(- 8)}^{2} \cdot 3}{3}$

Step 4.2

Multiply $- 7$ by $3$ .

$\frac{24 - 21 - 4 \cdot 3 - 3 \cdot 7 \cdot 3 - 2 {(- 8)}^{2} \cdot 3}{3}$

Step 4.3

Multiply $- 4$ by $3$ .

$\frac{24 - 21 - 12 - 3 \cdot 7 \cdot 3 - 2 {(- 8)}^{2} \cdot 3}{3}$

Step 4.4

Multiply $- 3 \cdot 7 \cdot 3$ .

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Step 4.4.1

Multiply $- 3$ by $7$ .

$\frac{24 - 21 - 12 - 21 \cdot 3 - 2 {(- 8)}^{2} \cdot 3}{3}$

Step 4.4.2

Multiply $- 21$ by $3$ .

$\frac{24 - 21 - 12 - 63 - 2 {(- 8)}^{2} \cdot 3}{3}$

Step 4.5

Raise $- 8$ to the power of $2$ .

$\frac{24 - 21 - 12 - 63 - 2 \cdot 64 \cdot 3}{3}$

Step 4.6

Multiply $- 2 \cdot 64 \cdot 3$ .

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Step 4.6.1

Multiply $- 2$ by $64$ .

$\frac{24 - 21 - 12 - 63 - 128 \cdot 3}{3}$

Step 4.6.2

Multiply $- 128$ by $3$ .

$\frac{24 - 21 - 12 - 63 - 384}{3}$

Step 5

Simplify the expression.

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Step 5.1

Subtract $21$ from $24$ .

$\frac{3 - 12 - 63 - 384}{3}$

Step 5.2

Subtract $12$ from $3$ .

$\frac{- 9 - 63 - 384}{3}$

Step 5.3

Subtract $63$ from $- 9$ .

$\frac{- 72 - 384}{3}$

Step 5.4

Subtract $384$ from $- 72$ .

$\frac{- 456}{3}$

Step 5.5

Divide $- 456$ by $3$ .

$- 152$