Algebra Examples

$5.6 \div 2^{3} + (12.75 + 7.45)$

Step 1

Remove parentheses.

$5.6 \div 2^{3} + 12.75 + 7.45$

Step 2

Find the common denominator.

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Step 2.1

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

$5.6 \div 8 + 12.75 + 7.45$

Step 2.2

Write $12.75$ as a fraction with denominator $1$ .

$5.6 \div 8 + \frac{12.75}{1} + 7.45$

Step 2.3

Multiply $\frac{12.75}{1}$ by $\frac{8}{8}$ .

$5.6 \div 8 + \frac{12.75}{1} \cdot \frac{8}{8} + 7.45$

Step 2.4

Multiply $\frac{12.75}{1}$ by $\frac{8}{8}$ .

$5.6 \div 8 + \frac{12.75 \cdot 8}{8} + 7.45$

Step 2.5

Write $7.45$ as a fraction with denominator $1$ .

$5.6 \div 8 + \frac{12.75 \cdot 8}{8} + \frac{7.45}{1}$

Step 2.6

Multiply $\frac{7.45}{1}$ by $\frac{8}{8}$ .

$5.6 \div 8 + \frac{12.75 \cdot 8}{8} + \frac{7.45}{1} \cdot \frac{8}{8}$

Step 2.7

Multiply $\frac{7.45}{1}$ by $\frac{8}{8}$ .

$5.6 \div 8 + \frac{12.75 \cdot 8}{8} + \frac{7.45 \cdot 8}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{5.6 + 12.75 \cdot 8 + 7.45 \cdot 8}{8}$

Step 4

Simplify each term.

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Step 4.1

Multiply $12.75$ by $8$ .

$\frac{5.6 + 102 + 7.45 \cdot 8}{8}$

Step 4.2

Multiply $7.45$ by $8$ .

$\frac{5.6 + 102 + 59.6}{8}$

Step 5

Simplify the expression.

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Step 5.1

Add $5.6$ and $102$ .

$\frac{107.6 + 59.6}{8}$

Step 5.2

Add $107.6$ and $59.6$ .

$\frac{167.2}{8}$

Step 5.3

Divide $167.2$ by $8$ .

$20.9$