Basic Math Examples

\frac{2}{11} + \frac{17}{19}

$\frac{2}{11} + \frac{17}{19}$

Step 1

To write

$\frac{2}{11}$ as a fraction with a common denominator, multiply by

$\frac{19}{19}$ .

$\frac{2}{11} \cdot \frac{19}{19} + \frac{17}{19}$

Step 2

To write

$\frac{17}{19}$ as a fraction with a common denominator, multiply by

$\frac{11}{11}$ .

$\frac{2}{11} \cdot \frac{19}{19} + \frac{17}{19} \cdot \frac{11}{11}$

Step 3

Write each expression with a common denominator of

$209$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{2}{11}$ by

$\frac{19}{19}$ .

$\frac{2 \cdot 19}{11 \cdot 19} + \frac{17}{19} \cdot \frac{11}{11}$

Step 3.2

Multiply

$11$ by

$19$ .

$\frac{2 \cdot 19}{209} + \frac{17}{19} \cdot \frac{11}{11}$

Step 3.3

Multiply

$\frac{17}{19}$ by

$\frac{11}{11}$ .

$\frac{2 \cdot 19}{209} + \frac{17 \cdot 11}{19 \cdot 11}$

Step 3.4

Multiply

$19$ by

$11$ .

$\frac{2 \cdot 19}{209} + \frac{17 \cdot 11}{209}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 19 + 17 \cdot 11}{209}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$2$ by

$19$ .

$\frac{38 + 17 \cdot 11}{209}$

Step 5.2

Multiply

$17$ by

$11$ .

$\frac{38 + 187}{209}$

Step 5.3

Add

$38$ and

$187$ .

$\frac{225}{209}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{225}{209}$

Decimal Form:

$1.07655502 \dots$

Mixed Number Form:

$1 \frac{16}{209}$