Basic Math Examples

$\frac{19}{5} - \frac{7}{3}$

Step 1

To write

$\frac{19}{5}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{19}{5} \cdot \frac{3}{3} - \frac{7}{3}$

Step 2

To write

$- \frac{7}{3}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{19}{5} \cdot \frac{3}{3} - \frac{7}{3} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of

$15$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{19}{5}$ by

$\frac{3}{3}$ .

$\frac{19 \cdot 3}{5 \cdot 3} - \frac{7}{3} \cdot \frac{5}{5}$

Step 3.2

Multiply

$5$ by

$3$ .

$\frac{19 \cdot 3}{15} - \frac{7}{3} \cdot \frac{5}{5}$

Step 3.3

Multiply

$\frac{7}{3}$ by

$\frac{5}{5}$ .

$\frac{19 \cdot 3}{15} - \frac{7 \cdot 5}{3 \cdot 5}$

Step 3.4

Multiply

$3$ by

$5$ .

$\frac{19 \cdot 3}{15} - \frac{7 \cdot 5}{15}$

Step 4

Combine the numerators over the common denominator.

$\frac{19 \cdot 3 - 7 \cdot 5}{15}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$19$ by

$3$ .

$\frac{57 - 7 \cdot 5}{15}$

Step 5.2

Multiply

$- 7$ by

$5$ .

$\frac{57 - 35}{15}$

Step 5.3

Subtract

$35$ from

$57$ .

$\frac{22}{15}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{22}{15}$

Decimal Form:

$1.4\overline{6}$

Mixed Number Form:

$1 \frac{7}{15}$