Basic Math Examples

$(79 - 17) \cdot ((10 + 15 \div 3) - (4 \cdot 4 - 3 \cdot 3))$

Step 1

Subtract $17$ from $79$ .

$62 \cdot ((10 + 15 \div 3) - (4 \cdot 4 - 3 \cdot 3))$

Step 2

Find the common denominator.

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Step 2.1

Write $10$ as a fraction with denominator $1$ .

$62 \cdot (\frac{10}{1} + 15 \div 3 - (4 \cdot 4 - 3 \cdot 3))$

Step 2.2

Multiply $\frac{10}{1}$ by $\frac{3}{3}$ .

$62 \cdot (\frac{10}{1} \cdot \frac{3}{3} + 15 \div 3 - (4 \cdot 4 - 3 \cdot 3))$

Step 2.3

Multiply $\frac{10}{1}$ by $\frac{3}{3}$ .

$62 \cdot (\frac{10 \cdot 3}{3} + 15 \div 3 - (4 \cdot 4 - 3 \cdot 3))$

Step 2.4

Write $- (4 \cdot 4 - 3 \cdot 3)$ as a fraction with denominator $1$ .

$62 \cdot (\frac{10 \cdot 3}{3} + 15 \div 3 + \frac{- (4 \cdot 4 - 3 \cdot 3)}{1})$

Step 2.5

Multiply $\frac{- (4 \cdot 4 - 3 \cdot 3)}{1}$ by $\frac{3}{3}$ .

$62 \cdot (\frac{10 \cdot 3}{3} + 15 \div 3 + \frac{- (4 \cdot 4 - 3 \cdot 3)}{1} \cdot \frac{3}{3})$

Step 2.6

Multiply $\frac{- (4 \cdot 4 - 3 \cdot 3)}{1}$ by $\frac{3}{3}$ .

$62 \cdot (\frac{10 \cdot 3}{3} + 15 \div 3 + \frac{- (4 \cdot 4 - 3 \cdot 3) \cdot 3}{3})$

Step 3

Combine the numerators over the common denominator.

$62 \cdot \frac{10 \cdot 3 + 15 - (4 \cdot 4 - 3 \cdot 3) \cdot 3}{3}$

Step 4

Simplify each term.

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Step 4.1

Multiply $10$ by $3$ .

$62 \cdot \frac{30 + 15 - (4 \cdot 4 - 3 \cdot 3) \cdot 3}{3}$

Step 4.2

Simplify each term.

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Step 4.2.1

Multiply $4$ by $4$ .

$62 \cdot \frac{30 + 15 - (16 - 3 \cdot 3) \cdot 3}{3}$

Step 4.2.2

Multiply $- 3$ by $3$ .

$62 \cdot \frac{30 + 15 - (16 - 9) \cdot 3}{3}$

Step 4.3

Subtract $9$ from $16$ .

$62 \cdot \frac{30 + 15 - 1 \cdot 7 \cdot 3}{3}$

Step 4.4

Multiply $- 1 \cdot 7 \cdot 3$ .

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Step 4.4.1

Multiply $- 1$ by $7$ .

$62 \cdot \frac{30 + 15 - 7 \cdot 3}{3}$

Step 4.4.2

Multiply $- 7$ by $3$ .

$62 \cdot \frac{30 + 15 - 21}{3}$

Step 5

Simplify the expression.

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Step 5.1

Add $30$ and $15$ .

$62 \cdot \frac{45 - 21}{3}$

Step 5.2

Subtract $21$ from $45$ .

$62 \cdot \frac{24}{3}$

Step 5.3

Divide $24$ by $3$ .

$62 \cdot 8$

Step 5.4

Multiply $62$ by $8$ .

$496$