Evaluate 1/3+3/7

$\frac{1}{3} + \frac{3}{7}$

Step 1

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{1}{3} \cdot \frac{7}{7} + \frac{3}{7}$

Step 2

To write $\frac{3}{7}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{3} \cdot \frac{7}{7} + \frac{3}{7} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of $21$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{3}$ by $\frac{7}{7}$ .

$\frac{7}{3 \cdot 7} + \frac{3}{7} \cdot \frac{3}{3}$

Multiply $3$ by $7$ .

$\frac{7}{21} + \frac{3}{7} \cdot \frac{3}{3}$

Multiply $\frac{3}{7}$ by $\frac{3}{3}$ .

$\frac{7}{21} + \frac{3 \cdot 3}{7 \cdot 3}$

Multiply $7$ by $3$ .

$\frac{7}{21} + \frac{3 \cdot 3}{21}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 + 3 \cdot 3}{21}$

Step 5

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{7 + 9}{21}$

Add $7$ and $9$ .

$\frac{16}{21}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{21}$

Decimal Form:

$0.\overline{761904}$