Basic Math Examples

\frac{6}{17} + \frac{2}{8}

$\frac{6}{17} + \frac{2}{8}$

Step 1

Cancel the common factor of

2

$2$ and

8

$8$ .

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Step 1.1

Factor

2

$2$ out of

2

$2$ .

\frac{6}{17} + \frac{2 (1)}{8}

$\frac{6}{17} + \frac{2 (1)}{8}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

8

$8$ .

\frac{6}{17} + \frac{2 \cdot 1}{2 \cdot 4}

$\frac{6}{17} + \frac{2 \cdot 1}{2 \cdot 4}$

Step 1.2.2

Cancel the common factor.

\frac{6}{17} + \frac{2 \cdot 1}{2 \cdot 4}

$\frac{6}{17} + \frac{2 \cdot 1}{2 \cdot 4}$

Step 1.2.3

Rewrite the expression.

\frac{6}{17} + \frac{1}{4}

$\frac{6}{17} + \frac{1}{4}$

\frac{6}{17} + \frac{1}{4}

$\frac{6}{17} + \frac{1}{4}$

\frac{6}{17} + \frac{1}{4}

$\frac{6}{17} + \frac{1}{4}$

Step 2

To write

\frac{6}{17}

$\frac{6}{17}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{6}{17} \cdot \frac{4}{4} + \frac{1}{4}

$\frac{6}{17} \cdot \frac{4}{4} + \frac{1}{4}$

Step 3

To write

\frac{1}{4}

$\frac{1}{4}$ as a fraction with a common denominator, multiply by

\frac{17}{17}

$\frac{17}{17}$ .

\frac{6}{17} \cdot \frac{4}{4} + \frac{1}{4} \cdot \frac{17}{17}

$\frac{6}{17} \cdot \frac{4}{4} + \frac{1}{4} \cdot \frac{17}{17}$

Step 4

Write each expression with a common denominator of

68

$68$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 4.1

Multiply

\frac{6}{17}

$\frac{6}{17}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{6 \cdot 4}{17 \cdot 4} + \frac{1}{4} \cdot \frac{17}{17}

$\frac{6 \cdot 4}{17 \cdot 4} + \frac{1}{4} \cdot \frac{17}{17}$

Step 4.2

Multiply

17

$17$ by

4

$4$ .

\frac{6 \cdot 4}{68} + \frac{1}{4} \cdot \frac{17}{17}

$\frac{6 \cdot 4}{68} + \frac{1}{4} \cdot \frac{17}{17}$

Step 4.3

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{17}{17}

$\frac{17}{17}$ .

\frac{6 \cdot 4}{68} + \frac{17}{4 \cdot 17}

$\frac{6 \cdot 4}{68} + \frac{17}{4 \cdot 17}$

Step 4.4

Multiply

4

$4$ by

17

$17$ .

\frac{6 \cdot 4}{68} + \frac{17}{68}

$\frac{6 \cdot 4}{68} + \frac{17}{68}$

\frac{6 \cdot 4}{68} + \frac{17}{68}

$\frac{6 \cdot 4}{68} + \frac{17}{68}$

Step 5

Combine the numerators over the common denominator.

\frac{6 \cdot 4 + 17}{68}

$\frac{6 \cdot 4 + 17}{68}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

6

$6$ by

4

$4$ .

\frac{24 + 17}{68}

$\frac{24 + 17}{68}$

Step 6.2

Add

24

$24$ and

17

$17$ .

\frac{41}{68}

$\frac{41}{68}$

\frac{41}{68}

$\frac{41}{68}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{41}{68}

$\frac{41}{68}$

Decimal Form:

0.60294117 \dots

$0.60294117 \dots$