Basic Math Examples

$16.3 \div 7 + (4) (2.1) - 0.24 \div (- 0.4)$

Step 1

Find the common denominator.

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Step 1.1

Multiply $16.3 \div 7$ by $\frac{2}{2}$ .

$16.3 \div 7 \cdot \frac{2}{2} + (4) (2.1) - 0.24 \div (- 0.4)$

Step 1.2

Multiply $16.3 \div 7$ by $\frac{2}{2}$ .

$\frac{16.3 \cdot 2}{7 \cdot 2} + (4) (2.1) - 0.24 \div (- 0.4)$

Step 1.3

Write $(4) (2.1)$ as a fraction with denominator $1$ .

$\frac{16.3 \cdot 2}{7 \cdot 2} + \frac{(4) (2.1)}{1} - 0.24 \div (- 0.4)$

Step 1.4

Multiply $\frac{(4) (2.1)}{1}$ by $\frac{14}{14}$ .

$\frac{16.3 \cdot 2}{7 \cdot 2} + \frac{(4) (2.1)}{1} \cdot \frac{14}{14} - 0.24 \div (- 0.4)$

Step 1.5

Multiply $\frac{(4) (2.1)}{1}$ by $\frac{14}{14}$ .

$\frac{16.3 \cdot 2}{7 \cdot 2} + \frac{(4) (2.1) \cdot 14}{14} - 0.24 \div (- 0.4)$

Step 1.6

Multiply $0.24 \div (- 0.4)$ by $\frac{\frac{14}{- 0.4}}{\frac{14}{- 0.4}}$ .

$\frac{16.3 \cdot 2}{7 \cdot 2} + \frac{(4) (2.1) \cdot 14}{14} - (0.24 \div (- 0.4) \cdot \frac{\frac{14}{- 0.4}}{\frac{14}{- 0.4}})$

Step 1.7

Multiply $0.24 \div (- 0.4)$ by $\frac{\frac{14}{- 0.4}}{\frac{14}{- 0.4}}$ .

$\frac{16.3 \cdot 2}{7 \cdot 2} + \frac{(4) (2.1) \cdot 14}{14} - \frac{0.24 (\frac{14}{- 0.4})}{- 0.4 (\frac{14}{- 0.4})}$

Step 1.8

Reorder the factors of $7 \cdot 2$ .

$\frac{16.3 \cdot 2}{2 \cdot 7} + \frac{(4) (2.1) \cdot 14}{14} - \frac{0.24 (\frac{14}{- 0.4})}{- 0.4 (\frac{14}{- 0.4})}$

Step 1.9

Multiply $2$ by $7$ .

$\frac{16.3 \cdot 2}{14} + \frac{(4) (2.1) \cdot 14}{14} - \frac{0.24 (\frac{14}{- 0.4})}{- 0.4 (\frac{14}{- 0.4})}$

Step 1.10

Combine $- 0.4$ and $\frac{14}{- 0.4}$ .

$\frac{16.3 \cdot 2}{14} + \frac{(4) (2.1) \cdot 14}{14} - \frac{0.24 (\frac{14}{- 0.4})}{\frac{- 0.4 \cdot 14}{- 0.4}}$

Step 1.11

Multiply $- 0.4$ by $14$ .

$\frac{16.3 \cdot 2}{14} + \frac{(4) (2.1) \cdot 14}{14} - \frac{0.24 (\frac{14}{- 0.4})}{\frac{- 5.6}{- 0.4}}$

Step 2

Combine the numerators over the common denominator.

$\frac{16.3 \cdot 2 + (4) (2.1) \cdot 14}{14} + \frac{- 0.24 (\frac{14}{- 0.4})}{\frac{- 5.6}{- 0.4}}$

Step 3

Simplify each term.

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Step 3.1

Multiply $16.3$ by $2$ .

$\frac{32.6 + (4) (2.1) \cdot 14}{14} + \frac{- 0.24 (\frac{14}{- 0.4})}{\frac{- 5.6}{- 0.4}}$

Step 3.2

Multiply $(4) (2.1) \cdot 14$ .

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Step 3.2.1

Multiply $4$ by $2.1$ .

$\frac{32.6 + 8.4 \cdot 14}{14} + \frac{- 0.24 (\frac{14}{- 0.4})}{\frac{- 5.6}{- 0.4}}$

Step 3.2.2

Multiply $8.4$ by $14$ .

$\frac{32.6 + 117.6}{14} + \frac{- 0.24 (\frac{14}{- 0.4})}{\frac{- 5.6}{- 0.4}}$

Step 4

Add $32.6$ and $117.6$ .

$\frac{150.2}{14} + \frac{- 0.24 (\frac{14}{- 0.4})}{\frac{- 5.6}{- 0.4}}$

Step 5

Simplify each term.

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Step 5.1

Divide $150.2$ by $14$ .

$10.7\overline{285714} + \frac{- 0.24 (\frac{14}{- 0.4})}{\frac{- 5.6}{- 0.4}}$

Step 5.2

Multiply the numerator by the reciprocal of the denominator.

$10.7\overline{285714} - 0.24 (\frac{14}{- 0.4}) \frac{- 0.4}{- 5.6}$

Step 5.3

Divide $14$ by $- 0.4$ .

$10.7\overline{285714} - 0.24 \cdot - 35 \frac{- 0.4}{- 5.6}$

Step 5.4

Multiply $- 0.24$ by $- 35$ .

$10.7\overline{285714} + 8.4 (\frac{- 0.4}{- 5.6})$

Step 5.5

Divide $- 0.4$ by $- 5.6$ .

$10.7\overline{285714} + 8.4 \cdot 0.0\overline{714285}$

Step 5.6

Multiply $8.4$ by $0.0\overline{714285}$ .

$10.7\overline{285714} + 0.5\overline{9}$

Step 6

Add $10.7\overline{285714}$ and $0.5\overline{9}$ .

$11.3\overline{285714}$