Basic Math Examples

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

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

Step 1

To write

\frac{8}{5}

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

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 2

Write each expression with a common denominator of

10

$10$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{8}{5}

$\frac{8}{5}$ by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 2.2

Multiply

5

$5$ by

2

$2$ .

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

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

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

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

Step 3

Combine the numerators over the common denominator.

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

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

Step 4

Simplify the numerator.

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Step 4.1

Multiply

8

$8$ by

2

$2$ .

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

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

Step 4.2

Subtract

3

$3$ from

16

$16$ .

72.5 \cdot \frac{13}{10}

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

72.5 \cdot \frac{13}{10}

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

Step 5

Multiply

72.5 (\frac{13}{10})

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

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Step 5.1

Combine

72.5

$72.5$ and

\frac{13}{10}

$\frac{13}{10}$ .

\frac{72.5 \cdot 13}{10}

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

Step 5.2

Multiply

72.5

$72.5$ by

13

$13$ .

\frac{942.5}{10}

$\frac{942.5}{10}$

\frac{942.5}{10}

$\frac{942.5}{10}$

Step 6

Divide

942.5

$942.5$ by

10

$10$ .

94.25

$94.25$