Basic Math Examples

\frac{19}{4} - \frac{4}{5}

$\frac{19}{4} - \frac{4}{5}$

Step 1

To write

\frac{19}{4}

$\frac{19}{4}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{19}{4} \cdot \frac{5}{5} - \frac{4}{5}

$\frac{19}{4} \cdot \frac{5}{5} - \frac{4}{5}$

Step 2

To write

- \frac{4}{5}

$- \frac{4}{5}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{19}{4} \cdot \frac{5}{5} - \frac{4}{5} \cdot \frac{4}{4}

$\frac{19}{4} \cdot \frac{5}{5} - \frac{4}{5} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of

20

$20$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{19}{4}

$\frac{19}{4}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{19 \cdot 5}{4 \cdot 5} - \frac{4}{5} \cdot \frac{4}{4}

$\frac{19 \cdot 5}{4 \cdot 5} - \frac{4}{5} \cdot \frac{4}{4}$

Step 3.2

Multiply

4

$4$ by

5

$5$ .

\frac{19 \cdot 5}{20} - \frac{4}{5} \cdot \frac{4}{4}

$\frac{19 \cdot 5}{20} - \frac{4}{5} \cdot \frac{4}{4}$

Step 3.3

Multiply

\frac{4}{5}

$\frac{4}{5}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{19 \cdot 5}{20} - \frac{4 \cdot 4}{5 \cdot 4}

$\frac{19 \cdot 5}{20} - \frac{4 \cdot 4}{5 \cdot 4}$

Step 3.4

Multiply

5

$5$ by

4

$4$ .

\frac{19 \cdot 5}{20} - \frac{4 \cdot 4}{20}

$\frac{19 \cdot 5}{20} - \frac{4 \cdot 4}{20}$

\frac{19 \cdot 5}{20} - \frac{4 \cdot 4}{20}

$\frac{19 \cdot 5}{20} - \frac{4 \cdot 4}{20}$

Step 4

Combine the numerators over the common denominator.

\frac{19 \cdot 5 - 4 \cdot 4}{20}

$\frac{19 \cdot 5 - 4 \cdot 4}{20}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

19

$19$ by

5

$5$ .

\frac{95 - 4 \cdot 4}{20}

$\frac{95 - 4 \cdot 4}{20}$

Step 5.2

Multiply

- 4

$- 4$ by

4

$4$ .

\frac{95 - 16}{20}

$\frac{95 - 16}{20}$

Step 5.3

Subtract

16

$16$ from

95

$95$ .

\frac{79}{20}

$\frac{79}{20}$

\frac{79}{20}

$\frac{79}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{79}{20}

$\frac{79}{20}$

Decimal Form:

3.95

$3.95$

Mixed Number Form:

3 \frac{19}{20}

$3 \frac{19}{20}$