Evaluate 2/7+1/5

$\frac{2}{7} + \frac{1}{5}$

Step 1

To write $\frac{2}{7}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{2}{7} \cdot \frac{5}{5} + \frac{1}{5}$

Step 2

To write $\frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{2}{7} \cdot \frac{5}{5} + \frac{1}{5} \cdot \frac{7}{7}$

Step 3

Write each expression with a common denominator of $35$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{7}$ by $\frac{5}{5}$ .

$\frac{2 \cdot 5}{7 \cdot 5} + \frac{1}{5} \cdot \frac{7}{7}$

Multiply $7$ by $5$ .

$\frac{2 \cdot 5}{35} + \frac{1}{5} \cdot \frac{7}{7}$

Multiply $\frac{1}{5}$ by $\frac{7}{7}$ .

$\frac{2 \cdot 5}{35} + \frac{7}{5 \cdot 7}$

Multiply $5$ by $7$ .

$\frac{2 \cdot 5}{35} + \frac{7}{35}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 5 + 7}{35}$

Step 5

Simplify the numerator.

Multiply $2$ by $5$ .

$\frac{10 + 7}{35}$

Add $10$ and $7$ .

$\frac{17}{35}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{35}$

Decimal Form:

$0.4\overline{857142}$