Basic Math Examples

3 \frac{5}{25}

$3 \frac{5}{25}$

Step 1

Convert

3 \frac{5}{25}

$3 \frac{5}{25}$ 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{5}{25}

$3 + \frac{5}{25}$

Step 1.2

Add

3

$3$ and

\frac{5}{25}

$\frac{5}{25}$ .

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Step 1.2.1

To write

3

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

\frac{25}{25}

$\frac{25}{25}$ .

3 \cdot \frac{25}{25} + \frac{5}{25}

$3 \cdot \frac{25}{25} + \frac{5}{25}$

Step 1.2.2

Combine

3

$3$ and

\frac{25}{25}

$\frac{25}{25}$ .

\frac{3 \cdot 25}{25} + \frac{5}{25}

$\frac{3 \cdot 25}{25} + \frac{5}{25}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 25 + 5}{25}

$\frac{3 \cdot 25 + 5}{25}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

25

$25$ .

\frac{75 + 5}{25}

$\frac{75 + 5}{25}$

Step 1.2.4.2

Add

75

$75$ and

5

$5$ .

\frac{80}{25}

$\frac{80}{25}$

\frac{80}{25}

$\frac{80}{25}$

\frac{80}{25}

$\frac{80}{25}$

\frac{80}{25}

$\frac{80}{25}$

Step 2

Cancel the common factor of

80

$80$ and

25

$25$ .

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Step 2.1

Factor

5

$5$ out of

80

$80$ .

\frac{5 (16)}{25}

$\frac{5 (16)}{25}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

5

$5$ out of

25

$25$ .

\frac{5 \cdot 16}{5 \cdot 5}

$\frac{5 \cdot 16}{5 \cdot 5}$

Step 2.2.2

Cancel the common factor.

$\frac{5 \cdot 16}{5 \cdot 5}$

Step 2.2.3

Rewrite the expression.

$\frac{16}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{5}$

Decimal Form:

$3.2$

Mixed Number Form:

$3 \frac{1}{5}$