Basic Math Examples

5 \frac{1}{3} \cdot 3

$5 \frac{1}{3} \cdot 3$

Step 1

Convert

5 \frac{1}{3}

$5 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

(5 + \frac{1}{3}) \cdot 3

$(5 + \frac{1}{3}) \cdot 3$

Step 1.2

Add

5

$5$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

(5 \cdot \frac{3}{3} + \frac{1}{3}) \cdot 3

$(5 \cdot \frac{3}{3} + \frac{1}{3}) \cdot 3$

Step 1.2.2

Combine

5

$5$ and

\frac{3}{3}

$\frac{3}{3}$ .

(\frac{5 \cdot 3}{3} + \frac{1}{3}) \cdot 3

$(\frac{5 \cdot 3}{3} + \frac{1}{3}) \cdot 3$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 3 + 1}{3} \cdot 3

$\frac{5 \cdot 3 + 1}{3} \cdot 3$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

3

$3$ .

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

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

Step 1.2.4.2

Add

15

$15$ and

1

$1$ .

\frac{16}{3} \cdot 3

$\frac{16}{3} \cdot 3$

\frac{16}{3} \cdot 3

$\frac{16}{3} \cdot 3$

\frac{16}{3} \cdot 3

$\frac{16}{3} \cdot 3$

\frac{16}{3} \cdot 3

$\frac{16}{3} \cdot 3$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Cancel the common factor.

$\frac{16}{3} \cdot 3$

Step 2.2

Rewrite the expression.

$16$