Basic Math Examples

$16 + 9 \div 3.4 - 7$

Step 1

Find the common denominator.

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Step 1.1

Write $16$ as a fraction with denominator $1$ .

$\frac{16}{1} + 9 \div 3.4 - 7$

Step 1.2

Multiply $\frac{16}{1}$ by $\frac{17}{17}$ .

$\frac{16}{1} \cdot \frac{17}{17} + 9 \div 3.4 - 7$

Step 1.3

Multiply $\frac{16}{1}$ by $\frac{17}{17}$ .

$\frac{16 \cdot 17}{17} + 9 \div 3.4 - 7$

Step 1.4

Multiply $9 \div 3.4$ by $\frac{\frac{17}{3.4}}{\frac{17}{3.4}}$ .

$\frac{16 \cdot 17}{17} + 9 \div 3.4 \cdot \frac{\frac{17}{3.4}}{\frac{17}{3.4}} - 7$

Step 1.5

Multiply $9 \div 3.4$ by $\frac{\frac{17}{3.4}}{\frac{17}{3.4}}$ .

$\frac{16 \cdot 17}{17} + \frac{9 (\frac{17}{3.4})}{3.4 (\frac{17}{3.4})} - 7$

Step 1.6

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

$\frac{16 \cdot 17}{17} + \frac{9 (\frac{17}{3.4})}{3.4 (\frac{17}{3.4})} + \frac{- 7}{1}$

Step 1.7

Multiply $\frac{- 7}{1}$ by $\frac{17}{17}$ .

$\frac{16 \cdot 17}{17} + \frac{9 (\frac{17}{3.4})}{3.4 (\frac{17}{3.4})} + \frac{- 7}{1} \cdot \frac{17}{17}$

Step 1.8

Multiply $\frac{- 7}{1}$ by $\frac{17}{17}$ .

$\frac{16 \cdot 17}{17} + \frac{9 (\frac{17}{3.4})}{3.4 (\frac{17}{3.4})} + \frac{- 7 \cdot 17}{17}$

Step 1.9

Combine $3.4$ and $\frac{17}{3.4}$ .

$\frac{16 \cdot 17}{17} + \frac{9 (\frac{17}{3.4})}{\frac{3.4 \cdot 17}{3.4}} + \frac{- 7 \cdot 17}{17}$

Step 1.10

Multiply $3.4$ by $17$ .

$\frac{16 \cdot 17}{17} + \frac{9 (\frac{17}{3.4})}{\frac{57.8}{3.4}} + \frac{- 7 \cdot 17}{17}$

Step 2

Combine the numerators over the common denominator.

$\frac{16 \cdot 17 - 7 \cdot 17}{17} + \frac{9 (\frac{17}{3.4})}{\frac{57.8}{3.4}}$

Step 3

Simplify each term.

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Step 3.1

Multiply $16$ by $17$ .

$\frac{272 - 7 \cdot 17}{17} + \frac{9 (\frac{17}{3.4})}{\frac{57.8}{3.4}}$

Step 3.2

Multiply $- 7$ by $17$ .

$\frac{272 - 119}{17} + \frac{9 (\frac{17}{3.4})}{\frac{57.8}{3.4}}$

Step 4

Subtract $119$ from $272$ .

$\frac{153}{17} + \frac{9 (\frac{17}{3.4})}{\frac{57.8}{3.4}}$

Step 5

Simplify each term.

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Step 5.1

Divide $153$ by $17$ .

$9 + \frac{9 (\frac{17}{3.4})}{\frac{57.8}{3.4}}$

Step 5.2

Multiply the numerator by the reciprocal of the denominator.

$9 + 9 (\frac{17}{3.4}) \frac{3.4}{57.8}$

Step 5.3

Divide $17$ by $3.4$ .

$9 + 9 \cdot 5 \frac{3.4}{57.8}$

Step 5.4

Multiply $9$ by $5$ .

$9 + 45 (\frac{3.4}{57.8})$

Step 5.5

Divide $3.4$ by $57.8$ .

$9 + 45 \cdot 0.05882352$

Step 5.6

Multiply $45$ by $0.05882352$ .

$9 + 2.64705882$

Step 6

Add $9$ and $2.64705882$ .

$11.64705882$