Evaluate 2/3+4/7

$\frac{2}{3} + \frac{4}{7}$

Step 1

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{2}{3} \cdot \frac{7}{7} + \frac{4}{7}$

Step 2

To write $\frac{4}{7}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{2}{3} \cdot \frac{7}{7} + \frac{4}{7} \cdot \frac{3}{3}$

Step 3

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

Multiply $\frac{2}{3}$ by $\frac{7}{7}$ .

$\frac{2 \cdot 7}{3 \cdot 7} + \frac{4}{7} \cdot \frac{3}{3}$

Multiply $3$ by $7$ .

$\frac{2 \cdot 7}{21} + \frac{4}{7} \cdot \frac{3}{3}$

Multiply $\frac{4}{7}$ by $\frac{3}{3}$ .

$\frac{2 \cdot 7}{21} + \frac{4 \cdot 3}{7 \cdot 3}$

Multiply $7$ by $3$ .

$\frac{2 \cdot 7}{21} + \frac{4 \cdot 3}{21}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 7 + 4 \cdot 3}{21}$

Step 5

Simplify the numerator.

Multiply $2$ by $7$ .

$\frac{14 + 4 \cdot 3}{21}$

Multiply $4$ by $3$ .

$\frac{14 + 12}{21}$

Add $14$ and $12$ .

$\frac{26}{21}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{26}{21}$

Decimal Form:

$1.\overline{238095}$

Mixed Number Form:

$1 \frac{5}{21}$