Basic Math Examples

$\frac{6}{7} + \frac{1}{2} + \frac{1}{14}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{6}{7}$ by $\frac{2}{2}$ .

$\frac{6}{7} \cdot \frac{2}{2} + \frac{1}{2} + \frac{1}{14}$

Step 1.2

Multiply $\frac{6}{7}$ by $\frac{2}{2}$ .

$\frac{6 \cdot 2}{7 \cdot 2} + \frac{1}{2} + \frac{1}{14}$

Step 1.3

Multiply $\frac{1}{2}$ by $\frac{7}{7}$ .

$\frac{6 \cdot 2}{7 \cdot 2} + \frac{1}{2} \cdot \frac{7}{7} + \frac{1}{14}$

Step 1.4

Multiply $\frac{1}{2}$ by $\frac{7}{7}$ .

$\frac{6 \cdot 2}{7 \cdot 2} + \frac{7}{2 \cdot 7} + \frac{1}{14}$

Step 1.5

Reorder the factors of $7 \cdot 2$ .

$\frac{6 \cdot 2}{2 \cdot 7} + \frac{7}{2 \cdot 7} + \frac{1}{14}$

Step 1.6

Multiply $2$ by $7$ .

$\frac{6 \cdot 2}{14} + \frac{7}{2 \cdot 7} + \frac{1}{14}$

Step 1.7

Multiply $2$ by $7$ .

$\frac{6 \cdot 2}{14} + \frac{7}{14} + \frac{1}{14}$

Step 2

Combine the numerators over the common denominator.

$\frac{6 \cdot 2 + 7 + 1}{14}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $6$ by $2$ .

$\frac{12 + 7 + 1}{14}$

Step 3.2

Add $12$ and $7$ .

$\frac{19 + 1}{14}$

Step 3.3

Add $19$ and $1$ .

$\frac{20}{14}$

Step 4

Cancel the common factor of $20$ and $14$ .

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Step 4.1

Factor $2$ out of $20$ .

$\frac{2 (10)}{14}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $14$ .

$\frac{2 \cdot 10}{2 \cdot 7}$

Step 4.2.2

Cancel the common factor.

$\frac{2 \cdot 10}{2 \cdot 7}$

Step 4.2.3

Rewrite the expression.

$\frac{10}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{7}$

Decimal Form:

$1.\overline{428571}$

Mixed Number Form:

$1 \frac{3}{7}$