Basic Math Examples

12 \frac{1}{5} - 3 \frac{4}{5}

$12 \frac{1}{5} - 3 \frac{4}{5}$

Step 1

Convert

12 \frac{1}{5}

$12 \frac{1}{5}$ to an improper fraction.

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Step 1.1

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

12 + \frac{1}{5} - 3 \frac{4}{5}

$12 + \frac{1}{5} - 3 \frac{4}{5}$

Step 1.2

Add

12

$12$ and

\frac{1}{5}

$\frac{1}{5}$ .

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Step 1.2.1

To write

12

$12$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

12 \cdot \frac{5}{5} + \frac{1}{5} - 3 \frac{4}{5}

$12 \cdot \frac{5}{5} + \frac{1}{5} - 3 \frac{4}{5}$

Step 1.2.2

Combine

12

$12$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{12 \cdot 5}{5} + \frac{1}{5} - 3 \frac{4}{5}

$\frac{12 \cdot 5}{5} + \frac{1}{5} - 3 \frac{4}{5}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{12 \cdot 5 + 1}{5} - 3 \frac{4}{5}

$\frac{12 \cdot 5 + 1}{5} - 3 \frac{4}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

12

$12$ by

5

$5$ .

\frac{60 + 1}{5} - 3 \frac{4}{5}

$\frac{60 + 1}{5} - 3 \frac{4}{5}$

Step 1.2.4.2

Add

60

$60$ and

1

$1$ .

\frac{61}{5} - 3 \frac{4}{5}

$\frac{61}{5} - 3 \frac{4}{5}$

\frac{61}{5} - 3 \frac{4}{5}

$\frac{61}{5} - 3 \frac{4}{5}$

\frac{61}{5} - 3 \frac{4}{5}

$\frac{61}{5} - 3 \frac{4}{5}$

\frac{61}{5} - 3 \frac{4}{5}

$\frac{61}{5} - 3 \frac{4}{5}$

Step 2

Convert

3 \frac{4}{5}

$3 \frac{4}{5}$ to an improper fraction.

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Step 2.1

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

\frac{61}{5} - (3 + \frac{4}{5})

$\frac{61}{5} - (3 + \frac{4}{5})$

Step 2.2

Add

3

$3$ and

\frac{4}{5}

$\frac{4}{5}$ .

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Step 2.2.1

To write

3

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

\frac{5}{5}

$\frac{5}{5}$ .

\frac{61}{5} - (3 \cdot \frac{5}{5} + \frac{4}{5})

$\frac{61}{5} - (3 \cdot \frac{5}{5} + \frac{4}{5})$

Step 2.2.2

Combine

3

$3$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{61}{5} - (\frac{3 \cdot 5}{5} + \frac{4}{5})

$\frac{61}{5} - (\frac{3 \cdot 5}{5} + \frac{4}{5})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{61}{5} - \frac{3 \cdot 5 + 4}{5}

$\frac{61}{5} - \frac{3 \cdot 5 + 4}{5}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

3

$3$ by

5

$5$ .

\frac{61}{5} - \frac{15 + 4}{5}

$\frac{61}{5} - \frac{15 + 4}{5}$

Step 2.2.4.2

Add

15

$15$ and

4

$4$ .

\frac{61}{5} - \frac{19}{5}

$\frac{61}{5} - \frac{19}{5}$

\frac{61}{5} - \frac{19}{5}

$\frac{61}{5} - \frac{19}{5}$

\frac{61}{5} - \frac{19}{5}

$\frac{61}{5} - \frac{19}{5}$

\frac{61}{5} - \frac{19}{5}

$\frac{61}{5} - \frac{19}{5}$

Step 3

Combine the numerators over the common denominator.

\frac{61 - 19}{5}

$\frac{61 - 19}{5}$

Step 4

Subtract

19

$19$ from

61

$61$ .

\frac{42}{5}

$\frac{42}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{42}{5}

$\frac{42}{5}$

Decimal Form:

8.4

$8.4$

Mixed Number Form:

8 \frac{2}{5}

$8 \frac{2}{5}$