Basic Math Examples

3 \frac{3}{5} \div 3

$3 \frac{3}{5} \div 3$

Step 1

Convert

3 \frac{3}{5}

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

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Step 1.1

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

(3 + \frac{3}{5}) \div 3

$(3 + \frac{3}{5}) \div 3$

Step 1.2

Add

3

$3$ and

\frac{3}{5}

$\frac{3}{5}$ .

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Step 1.2.1

To write

3

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

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 1.2.2

Combine

3

$3$ and

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

5

$5$ .

\frac{15 + 3}{5} \div 3

$\frac{15 + 3}{5} \div 3$

Step 1.2.4.2

Add

15

$15$ and

3

$3$ .

\frac{18}{5} \div 3

$\frac{18}{5} \div 3$

\frac{18}{5} \div 3

$\frac{18}{5} \div 3$

\frac{18}{5} \div 3

$\frac{18}{5} \div 3$

\frac{18}{5} \div 3

$\frac{18}{5} \div 3$

Step 2

Rewrite the division as a fraction.

\frac{\frac{18}{5}}{3}

$\frac{\frac{18}{5}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

\frac{18}{5} \cdot \frac{1}{3}

$\frac{18}{5} \cdot \frac{1}{3}$

Step 4

Cancel the common factor of

3

$3$ .

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Step 4.1

Factor

3

$3$ out of

18

$18$ .

\frac{3 (6)}{5} \cdot \frac{1}{3}

$\frac{3 (6)}{5} \cdot \frac{1}{3}$

Step 4.2

Cancel the common factor.

$\frac{3 \cdot 6}{5} \cdot \frac{1}{3}$

Step 4.3

Rewrite the expression.

$\frac{6}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{5}$

Decimal Form:

$1.2$

Mixed Number Form:

$1 \frac{1}{5}$