Basic Math Examples

\frac{11}{15} \cdot \frac{25}{16} + \frac{11}{12}

$\frac{11}{15} \cdot \frac{25}{16} + \frac{11}{12}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of

$5$ .

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Step 1.1.1

Factor

$5$ out of

$15$ .

$\frac{11}{5 (3)} \cdot \frac{25}{16} + \frac{11}{12}$

Step 1.1.2

Factor

$5$ out of

$25$ .

$\frac{11}{5 \cdot 3} \cdot \frac{5 \cdot 5}{16} + \frac{11}{12}$

Step 1.1.3

Cancel the common factor.

$\frac{11}{5 \cdot 3} \cdot \frac{5 \cdot 5}{16} + \frac{11}{12}$

Step 1.1.4

Rewrite the expression.

$\frac{11}{3} \cdot \frac{5}{16} + \frac{11}{12}$

Step 1.2

Multiply

$\frac{11}{3}$ by

$\frac{5}{16}$ .

$\frac{11 \cdot 5}{3 \cdot 16} + \frac{11}{12}$

Step 1.3

Multiply

$11$ by

$5$ .

$\frac{55}{3 \cdot 16} + \frac{11}{12}$

Step 1.4

Multiply

$3$ by

$16$ .

$\frac{55}{48} + \frac{11}{12}$

Step 2

To write

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

$\frac{4}{4}$ .

$\frac{55}{48} + \frac{11}{12} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of

$48$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{11}{12}$ by

$\frac{4}{4}$ .

$\frac{55}{48} + \frac{11 \cdot 4}{12 \cdot 4}$

Step 3.2

Multiply

$12$ by

$4$ .

$\frac{55}{48} + \frac{11 \cdot 4}{48}$

Step 4

Combine the numerators over the common denominator.

$\frac{55 + 11 \cdot 4}{48}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$11$ by

$4$ .

$\frac{55 + 44}{48}$

Step 5.2

Add

$55$ and

$44$ .

$\frac{99}{48}$

Step 6

Cancel the common factor of

$99$ and

$48$ .

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Step 6.1

Factor

$3$ out of

$99$ .

$\frac{3 (33)}{48}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor

$3$ out of

$48$ .

$\frac{3 \cdot 33}{3 \cdot 16}$

Step 6.2.2

Cancel the common factor.

$\frac{3 \cdot 33}{3 \cdot 16}$

Step 6.2.3

Rewrite the expression.

$\frac{33}{16}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{33}{16}$

Decimal Form:

$2.0625$

Mixed Number Form:

$2 \frac{1}{16}$