Basic Math Examples

$10^{2} - 3 \cdot 20 + 7 \cdot 3^{2} \div 3$

Step 1

Find the common denominator.

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Step 1.1

Write $10^{2}$ as a fraction with denominator $1$ .

$\frac{10^{2}}{1} - 3 \cdot 20 + 7 \cdot 3^{2} \div 3$

Step 1.2

Multiply $\frac{10^{2}}{1}$ by $\frac{3}{3}$ .

$\frac{10^{2}}{1} \cdot \frac{3}{3} - 3 \cdot 20 + 7 \cdot 3^{2} \div 3$

Step 1.3

Multiply $\frac{10^{2}}{1}$ by $\frac{3}{3}$ .

$\frac{10^{2} \cdot 3}{3} - 3 \cdot 20 + 7 \cdot 3^{2} \div 3$

Step 1.4

Write $- 3 \cdot 20$ as a fraction with denominator $1$ .

$\frac{10^{2} \cdot 3}{3} + \frac{- 3 \cdot 20}{1} + 7 \cdot 3^{2} \div 3$

Step 1.5

Multiply $\frac{- 3 \cdot 20}{1}$ by $\frac{3}{3}$ .

$\frac{10^{2} \cdot 3}{3} + \frac{- 3 \cdot 20}{1} \cdot \frac{3}{3} + 7 \cdot 3^{2} \div 3$

Step 1.6

Multiply $\frac{- 3 \cdot 20}{1}$ by $\frac{3}{3}$ .

$\frac{10^{2} \cdot 3}{3} + \frac{- 3 \cdot 20 \cdot 3}{3} + 7 \cdot 3^{2} \div 3$

Step 2

Combine the numerators over the common denominator.

$\frac{10^{2} \cdot 3 - 3 \cdot 20 \cdot 3 + 7 \cdot 3^{2}}{3}$

Step 3

Simplify each term.

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Step 3.1

Raise $10$ to the power of $2$ .

$\frac{100 \cdot 3 - 3 \cdot 20 \cdot 3 + 7 \cdot 3^{2}}{3}$

Step 3.2

Multiply $100$ by $3$ .

$\frac{300 - 3 \cdot 20 \cdot 3 + 7 \cdot 3^{2}}{3}$

Step 3.3

Multiply $- 3 \cdot 20 \cdot 3$ .

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Step 3.3.1

Multiply $- 3$ by $20$ .

$\frac{300 - 60 \cdot 3 + 7 \cdot 3^{2}}{3}$

Step 3.3.2

Multiply $- 60$ by $3$ .

$\frac{300 - 180 + 7 \cdot 3^{2}}{3}$

Step 3.4

Raise $3$ to the power of $2$ .

$\frac{300 - 180 + 7 \cdot 9}{3}$

Step 3.5

Multiply $7$ by $9$ .

$\frac{300 - 180 + 63}{3}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $180$ from $300$ .

$\frac{120 + 63}{3}$

Step 4.2

Add $120$ and $63$ .

$\frac{183}{3}$

Step 4.3

Divide $183$ by $3$ .

$61$