Basic Math Examples

40 % \cdot 3 \frac{1}{3}

$40 % \cdot 3 \frac{1}{3}$

Step 1

Convert

3 \frac{1}{3}

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

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Step 1.1

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

40 % \cdot (3 + \frac{1}{3})

$40 % \cdot (3 + \frac{1}{3})$

Step 1.2

Add

3

$3$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

40 % \cdot (3 \cdot \frac{3}{3} + \frac{1}{3})

$40 % \cdot (3 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

3

$3$ and

\frac{3}{3}

$\frac{3}{3}$ .

40 % \cdot (\frac{3 \cdot 3}{3} + \frac{1}{3})

$40 % \cdot (\frac{3 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

40 % \cdot \frac{3 \cdot 3 + 1}{3}

$40 % \cdot \frac{3 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

3

$3$ .

40 % \cdot \frac{9 + 1}{3}

$40 % \cdot \frac{9 + 1}{3}$

Step 1.2.4.2

Add

9

$9$ and

1

$1$ .

40 % \cdot \frac{10}{3}

$40 % \cdot \frac{10}{3}$

40 % \cdot \frac{10}{3}

$40 % \cdot \frac{10}{3}$

40 % \cdot \frac{10}{3}

$40 % \cdot \frac{10}{3}$

40 % \cdot \frac{10}{3}

$40 % \cdot \frac{10}{3}$

Step 2

Convert

40 %

$40 %$ to a decimal.

0.4 \cdot \frac{10}{3}

$0.4 \cdot \frac{10}{3}$

Step 3

Multiply

0.4 (\frac{10}{3})

$0.4 (\frac{10}{3})$ .

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Step 3.1

Combine

0.4

$0.4$ and

\frac{10}{3}

$\frac{10}{3}$ .

\frac{0.4 \cdot 10}{3}

$\frac{0.4 \cdot 10}{3}$

Step 3.2

Multiply

0.4

$0.4$ by

10

$10$ .

\frac{4}{3}

$\frac{4}{3}$

\frac{4}{3}

$\frac{4}{3}$

Step 4

Cancel the common factor of

4

$4$ and

3

$3$ .

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Step 4.1

Rewrite

4

$4$ as

1 (4)

$1 (4)$ .

\frac{1 (4)}{3}

$\frac{1 (4)}{3}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Rewrite

3

$3$ as

1 (3)

$1 (3)$ .

\frac{1 \cdot 4}{1 \cdot 3}

$\frac{1 \cdot 4}{1 \cdot 3}$

Step 4.2.2

Cancel the common factor.

$\frac{1 \cdot 4}{1 \cdot 3}$

Step 4.2.3

Rewrite the expression.

$\frac{4}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$