Basic Math Examples

$8.6 - 6.21 \div 2.7 + 7$

Step 1

Find the common denominator.

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Step 1.1

Write $8.6$ as a fraction with denominator $1$ .

$\frac{8.6}{1} - 6.21 \div 2.7 + 7$

Step 1.2

Multiply $\frac{8.6}{1}$ by $\frac{27}{27}$ .

$\frac{8.6}{1} \cdot \frac{27}{27} - 6.21 \div 2.7 + 7$

Step 1.3

Multiply $\frac{8.6}{1}$ by $\frac{27}{27}$ .

$\frac{8.6 \cdot 27}{27} - 6.21 \div 2.7 + 7$

Step 1.4

Multiply $6.21 \div 2.7$ by $\frac{\frac{27}{2.7}}{\frac{27}{2.7}}$ .

$\frac{8.6 \cdot 27}{27} - (6.21 \div 2.7 \cdot \frac{\frac{27}{2.7}}{\frac{27}{2.7}}) + 7$

Step 1.5

Multiply $6.21 \div 2.7$ by $\frac{\frac{27}{2.7}}{\frac{27}{2.7}}$ .

$\frac{8.6 \cdot 27}{27} - \frac{6.21 (\frac{27}{2.7})}{2.7 (\frac{27}{2.7})} + 7$

Step 1.6

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

$\frac{8.6 \cdot 27}{27} - \frac{6.21 (\frac{27}{2.7})}{2.7 (\frac{27}{2.7})} + \frac{7}{1}$

Step 1.7

Multiply $\frac{7}{1}$ by $\frac{27}{27}$ .

$\frac{8.6 \cdot 27}{27} - \frac{6.21 (\frac{27}{2.7})}{2.7 (\frac{27}{2.7})} + \frac{7}{1} \cdot \frac{27}{27}$

Step 1.8

Multiply $\frac{7}{1}$ by $\frac{27}{27}$ .

$\frac{8.6 \cdot 27}{27} - \frac{6.21 (\frac{27}{2.7})}{2.7 (\frac{27}{2.7})} + \frac{7 \cdot 27}{27}$

Step 1.9

Combine $2.7$ and $\frac{27}{2.7}$ .

$\frac{8.6 \cdot 27}{27} - \frac{6.21 (\frac{27}{2.7})}{\frac{2.7 \cdot 27}{2.7}} + \frac{7 \cdot 27}{27}$

Step 1.10

Multiply $2.7$ by $27$ .

$\frac{8.6 \cdot 27}{27} - \frac{6.21 (\frac{27}{2.7})}{\frac{72.9}{2.7}} + \frac{7 \cdot 27}{27}$

Step 2

Combine the numerators over the common denominator.

$\frac{8.6 \cdot 27 + 7 \cdot 27}{27} + \frac{- 6.21 (\frac{27}{2.7})}{\frac{72.9}{2.7}}$

Step 3

Simplify each term.

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Step 3.1

Multiply $8.6$ by $27$ .

$\frac{232.2 + 7 \cdot 27}{27} + \frac{- 6.21 (\frac{27}{2.7})}{\frac{72.9}{2.7}}$

Step 3.2

Multiply $7$ by $27$ .

$\frac{232.2 + 189}{27} + \frac{- 6.21 (\frac{27}{2.7})}{\frac{72.9}{2.7}}$

Step 4

Add $232.2$ and $189$ .

$\frac{421.2}{27} + \frac{- 6.21 (\frac{27}{2.7})}{\frac{72.9}{2.7}}$

Step 5

Simplify each term.

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Step 5.1

Divide $421.2$ by $27$ .

$15.6 + \frac{- 6.21 (\frac{27}{2.7})}{\frac{72.9}{2.7}}$

Step 5.2

Multiply the numerator by the reciprocal of the denominator.

$15.6 - 6.21 (\frac{27}{2.7}) \frac{2.7}{72.9}$

Step 5.3

Divide $27$ by $2.7$ .

$15.6 - 6.21 \cdot 10 \frac{2.7}{72.9}$

Step 5.4

Multiply $- 6.21$ by $10$ .

$15.6 - 62.1 (\frac{2.7}{72.9})$

Step 5.5

Divide $2.7$ by $72.9$ .

$15.6 - 62.1 \cdot 0.\overline{037}$

Step 5.6

Multiply $- 62.1$ by $0.\overline{037}$ .

$15.6 - 2.3$

Step 6

Subtract $2.3$ from $15.6$ .

$13.3$