Basic Math Examples

$\frac{1}{6} + \frac{1}{7} + \frac{2}{19}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{1}{6}$ by $\frac{133}{133}$ .

$\frac{1}{6} \cdot \frac{133}{133} + \frac{1}{7} + \frac{2}{19}$

Step 1.2

Multiply $\frac{1}{6}$ by $\frac{133}{133}$ .

$\frac{133}{6 \cdot 133} + \frac{1}{7} + \frac{2}{19}$

Step 1.3

Multiply $\frac{1}{7}$ by $\frac{114}{114}$ .

$\frac{133}{6 \cdot 133} + \frac{1}{7} \cdot \frac{114}{114} + \frac{2}{19}$

Step 1.4

Multiply $\frac{1}{7}$ by $\frac{114}{114}$ .

$\frac{133}{6 \cdot 133} + \frac{114}{7 \cdot 114} + \frac{2}{19}$

Step 1.5

Multiply $\frac{2}{19}$ by $\frac{42}{42}$ .

$\frac{133}{6 \cdot 133} + \frac{114}{7 \cdot 114} + \frac{2}{19} \cdot \frac{42}{42}$

Step 1.6

Multiply $\frac{2}{19}$ by $\frac{42}{42}$ .

$\frac{133}{6 \cdot 133} + \frac{114}{7 \cdot 114} + \frac{2 \cdot 42}{19 \cdot 42}$

Step 1.7

Multiply $6$ by $133$ .

$\frac{133}{798} + \frac{114}{7 \cdot 114} + \frac{2 \cdot 42}{19 \cdot 42}$

Step 1.8

Multiply $7$ by $114$ .

$\frac{133}{798} + \frac{114}{798} + \frac{2 \cdot 42}{19 \cdot 42}$

Step 1.9

Multiply $19$ by $42$ .

$\frac{133}{798} + \frac{114}{798} + \frac{2 \cdot 42}{798}$

Step 2

Combine the numerators over the common denominator.

$\frac{133 + 114 + 2 \cdot 42}{798}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $2$ by $42$ .

$\frac{133 + 114 + 84}{798}$

Step 3.2

Add $133$ and $114$ .

$\frac{247 + 84}{798}$

Step 3.3

Add $247$ and $84$ .

$\frac{331}{798}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{331}{798}$

Decimal Form:

$0.41478696 \dots$