Basic Math Examples

$\frac{17}{30} + \frac{11}{42}$

Step 1

To write $\frac{17}{30}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{17}{30} \cdot \frac{7}{7} + \frac{11}{42}$

Step 2

To write $\frac{11}{42}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{17}{30} \cdot \frac{7}{7} + \frac{11}{42} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of $210$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.1

Multiply $\frac{17}{30}$ by $\frac{7}{7}$ .

$\frac{17 \cdot 7}{30 \cdot 7} + \frac{11}{42} \cdot \frac{5}{5}$

Step 3.2

Multiply $30$ by $7$ .

$\frac{17 \cdot 7}{210} + \frac{11}{42} \cdot \frac{5}{5}$

Step 3.3

Multiply $\frac{11}{42}$ by $\frac{5}{5}$ .

$\frac{17 \cdot 7}{210} + \frac{11 \cdot 5}{42 \cdot 5}$

Step 3.4

Multiply $42$ by $5$ .

$\frac{17 \cdot 7}{210} + \frac{11 \cdot 5}{210}$

Step 4

Combine the numerators over the common denominator.

$\frac{17 \cdot 7 + 11 \cdot 5}{210}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $17$ by $7$ .

$\frac{119 + 11 \cdot 5}{210}$

Step 5.2

Multiply $11$ by $5$ .

$\frac{119 + 55}{210}$

Step 5.3

Add $119$ and $55$ .

$\frac{174}{210}$

Step 6

Cancel the common factor of $174$ and $210$ .

Tap for more steps...

Step 6.1

Factor $6$ out of $174$ .

$\frac{6 (29)}{210}$

Step 6.2

Cancel the common factors.

Tap for more steps...

Step 6.2.1

Factor $6$ out of $210$ .

$\frac{6 \cdot 29}{6 \cdot 35}$

Step 6.2.2

Cancel the common factor.

$\frac{6 \cdot 29}{6 \cdot 35}$

Step 6.2.3

Rewrite the expression.

$\frac{29}{35}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{35}$

Decimal Form:

$0.8\overline{285714}$