Basic Math Examples

\frac{6}{10} + \frac{1}{2}

$\frac{6}{10} + \frac{1}{2}$

Step 1

Cancel the common factor of

6

$6$ and

10

$10$ .

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Step 1.1

Factor

2

$2$ out of

6

$6$ .

\frac{2 (3)}{10} + \frac{1}{2}

$\frac{2 (3)}{10} + \frac{1}{2}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 \cdot 3}{2 \cdot 5} + \frac{1}{2}

$\frac{2 \cdot 3}{2 \cdot 5} + \frac{1}{2}$

Step 1.2.2

Cancel the common factor.

$\frac{2 \cdot 3}{2 \cdot 5} + \frac{1}{2}$

Step 1.2.3

Rewrite the expression.

$\frac{3}{5} + \frac{1}{2}$

Step 2

To write

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

$\frac{2}{2}$ .

$\frac{3}{5} \cdot \frac{2}{2} + \frac{1}{2}$

Step 3

To write

$\frac{1}{2}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{3}{5} \cdot \frac{2}{2} + \frac{1}{2} \cdot \frac{5}{5}$

Step 4

Write each expression with a common denominator of

$10$ , by multiplying each by an appropriate factor of

$1$ .

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Step 4.1

Multiply

$\frac{3}{5}$ by

$\frac{2}{2}$ .

$\frac{3 \cdot 2}{5 \cdot 2} + \frac{1}{2} \cdot \frac{5}{5}$

Step 4.2

Multiply

$5$ by

$2$ .

$\frac{3 \cdot 2}{10} + \frac{1}{2} \cdot \frac{5}{5}$

Step 4.3

Multiply

$\frac{1}{2}$ by

$\frac{5}{5}$ .

$\frac{3 \cdot 2}{10} + \frac{5}{2 \cdot 5}$

Step 4.4

Multiply

$2$ by

$5$ .

$\frac{3 \cdot 2}{10} + \frac{5}{10}$

Step 5

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 + 5}{10}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

$3$ by

$2$ .

$\frac{6 + 5}{10}$

Step 6.2

Add

$6$ and

$5$ .

$\frac{11}{10}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{10}$

Decimal Form:

$1.1$

Mixed Number Form:

$1 \frac{1}{10}$