Basic Math Examples

\frac{11}{12} + \frac{1}{10}

$\frac{11}{12} + \frac{1}{10}$

Step 1

To write

\frac{11}{12}

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

\frac{5}{5}

$\frac{5}{5}$ .

\frac{11}{12} \cdot \frac{5}{5} + \frac{1}{10}

$\frac{11}{12} \cdot \frac{5}{5} + \frac{1}{10}$

Step 2

To write

\frac{1}{10}

$\frac{1}{10}$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{11}{12} \cdot \frac{5}{5} + \frac{1}{10} \cdot \frac{6}{6}

$\frac{11}{12} \cdot \frac{5}{5} + \frac{1}{10} \cdot \frac{6}{6}$

Step 3

Write each expression with a common denominator of

60

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

1

$1$ .

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Step 3.1

Multiply

\frac{11}{12}

$\frac{11}{12}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{11 \cdot 5}{12 \cdot 5} + \frac{1}{10} \cdot \frac{6}{6}

$\frac{11 \cdot 5}{12 \cdot 5} + \frac{1}{10} \cdot \frac{6}{6}$

Step 3.2

Multiply

12

$12$ by

5

$5$ .

\frac{11 \cdot 5}{60} + \frac{1}{10} \cdot \frac{6}{6}

$\frac{11 \cdot 5}{60} + \frac{1}{10} \cdot \frac{6}{6}$

Step 3.3

Multiply

\frac{1}{10}

$\frac{1}{10}$ by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{11 \cdot 5}{60} + \frac{6}{10 \cdot 6}

$\frac{11 \cdot 5}{60} + \frac{6}{10 \cdot 6}$

Step 3.4

Multiply

10

$10$ by

6

$6$ .

\frac{11 \cdot 5}{60} + \frac{6}{60}

$\frac{11 \cdot 5}{60} + \frac{6}{60}$

\frac{11 \cdot 5}{60} + \frac{6}{60}

$\frac{11 \cdot 5}{60} + \frac{6}{60}$

Step 4

Combine the numerators over the common denominator.

\frac{11 \cdot 5 + 6}{60}

$\frac{11 \cdot 5 + 6}{60}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

11

$11$ by

5

$5$ .

\frac{55 + 6}{60}

$\frac{55 + 6}{60}$

Step 5.2

Add

55

$55$ and

6

$6$ .

\frac{61}{60}

$\frac{61}{60}$

\frac{61}{60}

$\frac{61}{60}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{61}{60}

$\frac{61}{60}$

Decimal Form:

1.01 ¯ 6

$1.01\overline{6}$

Mixed Number Form:

1 \frac{1}{60}

$1 \frac{1}{60}$