Basic Math Examples

$(300 - 70 \div 5) - (3 \cdot 19 - (8 - 2 \cdot 3))$

Step 1

Find the common denominator.

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Step 1.1

Write $300$ as a fraction with denominator $1$ .

$\frac{300}{1} - 70 \div 5 - (3 \cdot 19 - (8 - 2 \cdot 3))$

Step 1.2

Multiply $\frac{300}{1}$ by $\frac{5}{5}$ .

$\frac{300}{1} \cdot \frac{5}{5} - 70 \div 5 - (3 \cdot 19 - (8 - 2 \cdot 3))$

Step 1.3

Multiply $\frac{300}{1}$ by $\frac{5}{5}$ .

$\frac{300 \cdot 5}{5} - 70 \div 5 - (3 \cdot 19 - (8 - 2 \cdot 3))$

Step 1.4

Write $- (3 \cdot 19 - (8 - 2 \cdot 3))$ as a fraction with denominator $1$ .

$\frac{300 \cdot 5}{5} - 70 \div 5 + \frac{- (3 \cdot 19 - (8 - 2 \cdot 3))}{1}$

Step 1.5

Multiply $\frac{- (3 \cdot 19 - (8 - 2 \cdot 3))}{1}$ by $\frac{5}{5}$ .

$\frac{300 \cdot 5}{5} - 70 \div 5 + \frac{- (3 \cdot 19 - (8 - 2 \cdot 3))}{1} \cdot \frac{5}{5}$

Step 1.6

Multiply $\frac{- (3 \cdot 19 - (8 - 2 \cdot 3))}{1}$ by $\frac{5}{5}$ .

$\frac{300 \cdot 5}{5} - 70 \div 5 + \frac{- (3 \cdot 19 - (8 - 2 \cdot 3)) \cdot 5}{5}$

Step 2

Combine the numerators over the common denominator.

$\frac{300 \cdot 5 - 70 - (3 \cdot 19 - (8 - 2 \cdot 3)) \cdot 5}{5}$

Step 3

Simplify each term.

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Step 3.1

Multiply $300$ by $5$ .

$\frac{1500 - 70 - (3 \cdot 19 - (8 - 2 \cdot 3)) \cdot 5}{5}$

Step 3.2

Simplify each term.

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Step 3.2.1

Multiply $3$ by $19$ .

$\frac{1500 - 70 - (57 - (8 - 2 \cdot 3)) \cdot 5}{5}$

Step 3.2.2

Multiply $- 2$ by $3$ .

$\frac{1500 - 70 - (57 - (8 - 6)) \cdot 5}{5}$

Step 3.2.3

Subtract $6$ from $8$ .

$\frac{1500 - 70 - (57 - 1 \cdot 2) \cdot 5}{5}$

Step 3.2.4

Multiply $- 1$ by $2$ .

$\frac{1500 - 70 - (57 - 2) \cdot 5}{5}$

Step 3.3

Subtract $2$ from $57$ .

$\frac{1500 - 70 - 1 \cdot 55 \cdot 5}{5}$

Step 3.4

Multiply $- 1 \cdot 55 \cdot 5$ .

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Step 3.4.1

Multiply $- 1$ by $55$ .

$\frac{1500 - 70 - 55 \cdot 5}{5}$

Step 3.4.2

Multiply $- 55$ by $5$ .

$\frac{1500 - 70 - 275}{5}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $70$ from $1500$ .

$\frac{1430 - 275}{5}$

Step 4.2

Subtract $275$ from $1430$ .

$\frac{1155}{5}$

Step 4.3

Divide $1155$ by $5$ .

$231$