Evaluate 5 2/5+2 3/5

$5 \frac{2}{5} + 2 \frac{3}{5}$

Convert $5 \frac{2}{5}$ to an improper fraction.

Tap for more steps…

A mixed number is an addition of its whole and fractional parts.

$5 + \frac{2}{5} + 2 \frac{3}{5}$

Add $5$ and $\frac{2}{5}$ .

Tap for more steps…

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

$5 \cdot \frac{5}{5} + \frac{2}{5} + 2 \frac{3}{5}$

Combine $5$ and $\frac{5}{5}$ .

$\frac{5 \cdot 5}{5} + \frac{2}{5} + 2 \frac{3}{5}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 5 + 2}{5} + 2 \frac{3}{5}$

Simplify the numerator.

Tap for more steps…

Multiply $5$ by $5$ .

$\frac{25 + 2}{5} + 2 \frac{3}{5}$

Add $25$ and $2$ .

$\frac{27}{5} + 2 \frac{3}{5}$

Convert $2 \frac{3}{5}$ to an improper fraction.

Tap for more steps…

A mixed number is an addition of its whole and fractional parts.

$\frac{27}{5} + 2 + \frac{3}{5}$

Add $2$ and $\frac{3}{5}$ .

Tap for more steps…

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

$\frac{27}{5} + 2 \cdot \frac{5}{5} + \frac{3}{5}$

Combine $2$ and $\frac{5}{5}$ .

$\frac{27}{5} + \frac{2 \cdot 5}{5} + \frac{3}{5}$

Combine the numerators over the common denominator.

$\frac{27}{5} + \frac{2 \cdot 5 + 3}{5}$

Simplify the numerator.

Tap for more steps…

Multiply $2$ by $5$ .

$\frac{27}{5} + \frac{10 + 3}{5}$

Add $10$ and $3$ .

$\frac{27}{5} + \frac{13}{5}$

Combine the numerators over the common denominator.

$\frac{27 + 13}{5}$

Add $27$ and $13$ .

$\frac{40}{5}$

Divide $40$ by $5$ .

$8$

Evaluate 5 2/5+2 3/5