Basic Math Examples

200 \cdot 15 \frac{3}{8}

$200 \cdot 15 \frac{3}{8}$

Step 1

Convert

15 \frac{3}{8}

$15 \frac{3}{8}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

200 \cdot (15 + \frac{3}{8})

$200 \cdot (15 + \frac{3}{8})$

Step 1.2

Add

15

$15$ and

\frac{3}{8}

$\frac{3}{8}$ .

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Step 1.2.1

To write

15

$15$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

200 \cdot (15 \cdot \frac{8}{8} + \frac{3}{8})

$200 \cdot (15 \cdot \frac{8}{8} + \frac{3}{8})$

Step 1.2.2

Combine

15

$15$ and

\frac{8}{8}

$\frac{8}{8}$ .

200 \cdot (\frac{15 \cdot 8}{8} + \frac{3}{8})

$200 \cdot (\frac{15 \cdot 8}{8} + \frac{3}{8})$

Step 1.2.3

Combine the numerators over the common denominator.

200 \cdot \frac{15 \cdot 8 + 3}{8}

$200 \cdot \frac{15 \cdot 8 + 3}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

15

$15$ by

8

$8$ .

200 \cdot \frac{120 + 3}{8}

$200 \cdot \frac{120 + 3}{8}$

Step 1.2.4.2

Add

120

$120$ and

3

$3$ .

200 \cdot \frac{123}{8}

$200 \cdot \frac{123}{8}$

200 \cdot \frac{123}{8}

$200 \cdot \frac{123}{8}$

200 \cdot \frac{123}{8}

$200 \cdot \frac{123}{8}$

200 \cdot \frac{123}{8}

$200 \cdot \frac{123}{8}$

Step 2

Cancel the common factor of

8

$8$ .

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Step 2.1

Factor

8

$8$ out of

200

$200$ .

8 (25) \cdot \frac{123}{8}

$8 (25) \cdot \frac{123}{8}$

Step 2.2

Cancel the common factor.

8 \cdot 25 \cdot \frac{123}{8}

$8 \cdot 25 \cdot \frac{123}{8}$

Step 2.3

Rewrite the expression.

25 \cdot 123

$25 \cdot 123$

25 \cdot 123

$25 \cdot 123$

Step 3

Multiply

25

$25$ by

123

$123$ .

3075

$3075$