Basic Math Examples

$\frac{(6.2 \div 0.31 - \frac{5}{6} \cdot 0.9) \cdot 0.2 + 0.15}{2 + \frac{15}{11} \cdot 0.22 \div 0.1}$

Step 1

Combine fractions.

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Step 1.1

Combine

$\frac{15}{11}$ and

$0.22$ .

$\frac{(6.2 \div 0.31 - \frac{5}{6} \cdot 0.9) \cdot 0.2 + 0.15}{2 + \frac{15 \cdot 0.22}{11} \div 0.1}$

Step 1.2

Simplify the expression.

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Step 1.2.1

Multiply

$15$ by

$0.22$ .

$\frac{(6.2 \div 0.31 - \frac{5}{6} \cdot 0.9) \cdot 0.2 + 0.15}{2 + \frac{3.3}{11} \div 0.1}$

Step 1.2.2

Divide

$3.3$ by

$11$ .

$\frac{(6.2 \div 0.31 - \frac{5}{6} \cdot 0.9) \cdot 0.2 + 0.15}{2 + 0.3 \div 0.1}$

Step 2

Simplify the numerator.

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Step 2.1

Simplify each term.

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Step 2.1.1

Divide

$6.2$ by

$0.31$ .

$\frac{(20 - \frac{5}{6} \cdot 0.9) \cdot 0.2 + 0.15}{2 + 0.3 \div 0.1}$

Step 2.1.2

Multiply

$- \frac{5}{6} \cdot 0.9$ .

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Step 2.1.2.1

Multiply

$0.9$ by

$- 1$ .

$\frac{(20 - 0.9 (\frac{5}{6})) \cdot 0.2 + 0.15}{2 + 0.3 \div 0.1}$

Step 2.1.2.2

Combine

$- 0.9$ and

$\frac{5}{6}$ .

$\frac{(20 + \frac{- 0.9 \cdot 5}{6}) \cdot 0.2 + 0.15}{2 + 0.3 \div 0.1}$

Step 2.1.2.3

Multiply

$- 0.9$ by

$5$ .

$\frac{(20 + \frac{- 4.5}{6}) \cdot 0.2 + 0.15}{2 + 0.3 \div 0.1}$

Step 2.1.3

Divide

$- 4.5$ by

$6$ .

$\frac{(20 - 0.75) \cdot 0.2 + 0.15}{2 + 0.3 \div 0.1}$

Step 2.2

Subtract

$0.75$ from

$20$ .

$\frac{19.25 \cdot 0.2 + 0.15}{2 + 0.3 \div 0.1}$

Step 2.3

Multiply

$19.25$ by

$0.2$ .

$\frac{3.85 + 0.15}{2 + 0.3 \div 0.1}$

Step 2.4

Add

$3.85$ and

$0.15$ .

$\frac{4}{2 + 0.3 \div 0.1}$

Step 3

Simplify the denominator.

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Step 3.1

Divide

$0.3$ by

$0.1$ .

$\frac{4}{2 + 3}$

Step 3.2

Add

$2$ and

$3$ .

$\frac{4}{5}$

Step 4

Cancel the common factor of

$4$ and

$5$ .

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Step 4.1

Rewrite

$4$ as

$1 (4)$ .

$\frac{1 (4)}{5}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Rewrite

$5$ as

$1 (5)$ .

$\frac{1 \cdot 4}{1 \cdot 5}$

Step 4.2.2

Cancel the common factor.

$\frac{1 \cdot 4}{1 \cdot 5}$

Step 4.2.3

Rewrite the expression.

$\frac{4}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$