Basic Math Examples

$\frac{12}{7} - \frac{6}{5}$

Step 1

To write

$\frac{12}{7}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{12}{7} \cdot \frac{5}{5} - \frac{6}{5}$

Step 2

To write

$- \frac{6}{5}$ as a fraction with a common denominator, multiply by

$\frac{7}{7}$ .

$\frac{12}{7} \cdot \frac{5}{5} - \frac{6}{5} \cdot \frac{7}{7}$

Step 3

Write each expression with a common denominator of

$35$ , by multiplying each by an appropriate factor of

$1$ .

Tap for more steps...

Step 3.1

Multiply

$\frac{12}{7}$ by

$\frac{5}{5}$ .

$\frac{12 \cdot 5}{7 \cdot 5} - \frac{6}{5} \cdot \frac{7}{7}$

Step 3.2

Multiply

$7$ by

$5$ .

$\frac{12 \cdot 5}{35} - \frac{6}{5} \cdot \frac{7}{7}$

Step 3.3

Multiply

$\frac{6}{5}$ by

$\frac{7}{7}$ .

$\frac{12 \cdot 5}{35} - \frac{6 \cdot 7}{5 \cdot 7}$

Step 3.4

Multiply

$5$ by

$7$ .

$\frac{12 \cdot 5}{35} - \frac{6 \cdot 7}{35}$

Step 4

Combine the numerators over the common denominator.

$\frac{12 \cdot 5 - 6 \cdot 7}{35}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply

$12$ by

$5$ .

$\frac{60 - 6 \cdot 7}{35}$

Step 5.2

Multiply

$- 6$ by

$7$ .

$\frac{60 - 42}{35}$

Step 5.3

Subtract

$42$ from

$60$ .

$\frac{18}{35}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{18}{35}$

Decimal Form:

$0.5\overline{142857}$