Basic Math Examples

15 (1 \frac{1}{3})

$15 (1 \frac{1}{3})$

Step 1

Convert

1 \frac{1}{3}

$1 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

15 (1 + \frac{1}{3})

$15 (1 + \frac{1}{3})$

Step 1.2

Add

1

$1$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

15 (\frac{3}{3} + \frac{1}{3})

$15 (\frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine the numerators over the common denominator.

15 \frac{3 + 1}{3}

$15 \frac{3 + 1}{3}$

Step 1.2.3

Add

3

$3$ and

1

$1$ .

15 (\frac{4}{3})

$15 (\frac{4}{3})$

15 (\frac{4}{3})

$15 (\frac{4}{3})$

15 (\frac{4}{3})

$15 (\frac{4}{3})$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Factor

3

$3$ out of

15

$15$ .

3 (5) \frac{4}{3}

$3 (5) \frac{4}{3}$

Step 2.2

Cancel the common factor.

$3 \cdot 5 \frac{4}{3}$

Step 2.3

Rewrite the expression.

$5 \cdot 4$

Step 3

Multiply

$5$ by

$4$ .

$20$