Basic Math Examples

$(\frac{11}{12} - \frac{13}{15}) \cdot \frac{36}{37}$

Step 1

To write $\frac{11}{12}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(\frac{11}{12} \cdot \frac{5}{5} - \frac{13}{15}) \cdot \frac{36}{37}$

Step 2

To write $- \frac{13}{15}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(\frac{11}{12} \cdot \frac{5}{5} - \frac{13}{15} \cdot \frac{4}{4}) \cdot \frac{36}{37}$

Step 3

Write each expression with a common denominator of $60$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.1

Multiply $\frac{11}{12}$ by $\frac{5}{5}$ .

$(\frac{11 \cdot 5}{12 \cdot 5} - \frac{13}{15} \cdot \frac{4}{4}) \cdot \frac{36}{37}$

Step 3.2

Multiply $12$ by $5$ .

$(\frac{11 \cdot 5}{60} - \frac{13}{15} \cdot \frac{4}{4}) \cdot \frac{36}{37}$

Step 3.3

Multiply $\frac{13}{15}$ by $\frac{4}{4}$ .

$(\frac{11 \cdot 5}{60} - \frac{13 \cdot 4}{15 \cdot 4}) \cdot \frac{36}{37}$

Step 3.4

Multiply $15$ by $4$ .

$(\frac{11 \cdot 5}{60} - \frac{13 \cdot 4}{60}) \cdot \frac{36}{37}$

Step 4

Combine the numerators over the common denominator.

$\frac{11 \cdot 5 - 13 \cdot 4}{60} \cdot \frac{36}{37}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $11$ by $5$ .

$\frac{55 - 13 \cdot 4}{60} \cdot \frac{36}{37}$

Step 5.2

Multiply $- 13$ by $4$ .

$\frac{55 - 52}{60} \cdot \frac{36}{37}$

Step 5.3

Subtract $52$ from $55$ .

$\frac{3}{60} \cdot \frac{36}{37}$

Step 6

Cancel the common factor of $12$ .

Tap for more steps...

Step 6.1

Factor $12$ out of $60$ .

$\frac{3}{12 (5)} \cdot \frac{36}{37}$

Step 6.2

Factor $12$ out of $36$ .

$\frac{3}{12 \cdot 5} \cdot \frac{12 \cdot 3}{37}$

Step 6.3

Cancel the common factor.

$\frac{3}{12 \cdot 5} \cdot \frac{12 \cdot 3}{37}$

Step 6.4

Rewrite the expression.

$\frac{3}{5} \cdot \frac{3}{37}$

Step 7

Multiply $\frac{3}{5}$ by $\frac{3}{37}$ .

$\frac{3 \cdot 3}{5 \cdot 37}$

Step 8

Multiply.

Tap for more steps...

Step 8.1

Multiply $3$ by $3$ .

$\frac{9}{5 \cdot 37}$

Step 8.2

Multiply $5$ by $37$ .

$\frac{9}{185}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{185}$

Decimal Form:

$0.0\overline{486}$