Algebra Examples

$5^{2} \cdot 8 \div 2^{2} + 20 \cdot 3 - 4$

Step 1

Find the common denominator.

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Step 1.1

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

$5^{2} \cdot 8 \div 4 + 20 \cdot 3 - 4$

Step 1.2

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

$5^{2} \cdot 8 \div 4 + \frac{20 \cdot 3}{1} - 4$

Step 1.3

Multiply $\frac{20 \cdot 3}{1}$ by $\frac{4}{4}$ .

$5^{2} \cdot 8 \div 4 + \frac{20 \cdot 3}{1} \cdot \frac{4}{4} - 4$

Step 1.4

Multiply $\frac{20 \cdot 3}{1}$ by $\frac{4}{4}$ .

$5^{2} \cdot 8 \div 4 + \frac{20 \cdot 3 \cdot 4}{4} - 4$

Step 1.5

Write $- 4$ as a fraction with denominator $1$ .

$5^{2} \cdot 8 \div 4 + \frac{20 \cdot 3 \cdot 4}{4} + \frac{- 4}{1}$

Step 1.6

Multiply $\frac{- 4}{1}$ by $\frac{4}{4}$ .

$5^{2} \cdot 8 \div 4 + \frac{20 \cdot 3 \cdot 4}{4} + \frac{- 4}{1} \cdot \frac{4}{4}$

Step 1.7

Multiply $\frac{- 4}{1}$ by $\frac{4}{4}$ .

$5^{2} \cdot 8 \div 4 + \frac{20 \cdot 3 \cdot 4}{4} + \frac{- 4 \cdot 4}{4}$

Step 2

Combine the numerators over the common denominator.

$\frac{5^{2} \cdot 8 + 20 \cdot 3 \cdot 4 - 4 \cdot 4}{4}$

Step 3

Simplify each term.

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Step 3.1

Raise $5$ to the power of $2$ .

$\frac{25 \cdot 8 + 20 \cdot 3 \cdot 4 - 4 \cdot 4}{4}$

Step 3.2

Multiply $25$ by $8$ .

$\frac{200 + 20 \cdot 3 \cdot 4 - 4 \cdot 4}{4}$

Step 3.3

Multiply $20 \cdot 3 \cdot 4$ .

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Step 3.3.1

Multiply $20$ by $3$ .

$\frac{200 + 60 \cdot 4 - 4 \cdot 4}{4}$

Step 3.3.2

Multiply $60$ by $4$ .

$\frac{200 + 240 - 4 \cdot 4}{4}$

Step 3.4

Multiply $- 4$ by $4$ .

$\frac{200 + 240 - 16}{4}$

Step 4

Simplify the expression.

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Step 4.1

Add $200$ and $240$ .

$\frac{440 - 16}{4}$

Step 4.2

Subtract $16$ from $440$ .

$\frac{424}{4}$

Step 4.3

Divide $424$ by $4$ .

$106$