Basic Math Examples

$\frac{3}{5} - \frac{7}{12}$

Step 1

To write

$\frac{3}{5}$ as a fraction with a common denominator, multiply by

$\frac{12}{12}$ .

$\frac{3}{5} \cdot \frac{12}{12} - \frac{7}{12}$

Step 2

To write

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

$\frac{5}{5}$ .

$\frac{3}{5} \cdot \frac{12}{12} - \frac{7}{12} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of

$60$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{3}{5}$ by

$\frac{12}{12}$ .

$\frac{3 \cdot 12}{5 \cdot 12} - \frac{7}{12} \cdot \frac{5}{5}$

Step 3.2

Multiply

$5$ by

$12$ .

$\frac{3 \cdot 12}{60} - \frac{7}{12} \cdot \frac{5}{5}$

Step 3.3

Multiply

$\frac{7}{12}$ by

$\frac{5}{5}$ .

$\frac{3 \cdot 12}{60} - \frac{7 \cdot 5}{12 \cdot 5}$

Step 3.4

Multiply

$12$ by

$5$ .

$\frac{3 \cdot 12}{60} - \frac{7 \cdot 5}{60}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 12 - 7 \cdot 5}{60}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$3$ by

$12$ .

$\frac{36 - 7 \cdot 5}{60}$

Step 5.2

Multiply

$- 7$ by

$5$ .

$\frac{36 - 35}{60}$

Step 5.3

Subtract

$35$ from

$36$ .

$\frac{1}{60}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{60}$

Decimal Form:

$0.01\overline{6}$