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:

$0.8$