Basic Math Examples

$72.5 \cdot (\frac{8}{5} - \frac{3}{10})$

Step 1

To write $\frac{8}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$72.5 \cdot (\frac{8}{5} \cdot \frac{2}{2} - \frac{3}{10})$

Step 2

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{8}{5}$ by $\frac{2}{2}$ .

$72.5 \cdot (\frac{8 \cdot 2}{5 \cdot 2} - \frac{3}{10})$

Step 2.2

Multiply $5$ by $2$ .

$72.5 \cdot (\frac{8 \cdot 2}{10} - \frac{3}{10})$

Step 3

Combine the numerators over the common denominator.

$72.5 \cdot \frac{8 \cdot 2 - 3}{10}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $8$ by $2$ .

$72.5 \cdot \frac{16 - 3}{10}$

Step 4.2

Subtract $3$ from $16$ .

$72.5 \cdot \frac{13}{10}$

Step 5

Multiply $72.5 (\frac{13}{10})$ .

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Step 5.1

Combine $72.5$ and $\frac{13}{10}$ .

$\frac{72.5 \cdot 13}{10}$

Step 5.2

Multiply $72.5$ by $13$ .

$\frac{942.5}{10}$

Step 6

Divide $942.5$ by $10$ .

$94.25$