Pre-Algebra Examples

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

Step 1

To write

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

$\frac{3}{3}$ .

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

Step 2

To write

$\frac{a}{3}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

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

Step 3

Write each expression with a common denominator of

$15$ , by multiplying each by an appropriate factor of

$1$ .

Tap for more steps...

Step 3.1

Multiply

$\frac{2}{5}$ by

$\frac{3}{3}$ .

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

Step 3.2

Multiply

$5$ by

$3$ .

$\frac{2 \cdot 3}{15} + \frac{a}{3} \cdot \frac{5}{5}$

Step 3.3

Multiply

$\frac{a}{3}$ by

$\frac{5}{5}$ .

$\frac{2 \cdot 3}{15} + \frac{a \cdot 5}{3 \cdot 5}$

Step 3.4

Multiply

$3$ by

$5$ .

$\frac{2 \cdot 3}{15} + \frac{a \cdot 5}{15}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 + a \cdot 5}{15}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply

$2$ by

$3$ .

$\frac{6 + a \cdot 5}{15}$

Step 5.2

Move

$5$ to the left of

$a$ .

$\frac{6 + 5 a}{15}$