Basic Math Examples

$\frac{5 a}{6} - \frac{2 a}{3}$

Step 1

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

$\frac{5 a}{6} - \frac{2 a}{3} \cdot \frac{2}{2}$

Step 2

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.1

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

$\frac{5 a}{6} - \frac{2 a \cdot 2}{3 \cdot 2}$

Step 2.2

Multiply $3$ by $2$ .

$\frac{5 a}{6} - \frac{2 a \cdot 2}{6}$

Step 3

Combine the numerators over the common denominator.

$\frac{5 a - 2 a \cdot 2}{6}$

Step 4

Rewrite $\frac{5 a - 2 a \cdot 2}{6}$ in a factored form.

Tap for more steps...

Step 4.1

Factor $a$ out of $5 a - 2 a \cdot 2$ .

Tap for more steps...

Step 4.1.1

Factor $a$ out of $5 a$ .

$\frac{a \cdot 5 - 2 a \cdot 2}{6}$

Step 4.1.2

Factor $a$ out of $- 2 a \cdot 2$ .

$\frac{a \cdot 5 + a (- 2 \cdot 2)}{6}$

Step 4.1.3

Factor $a$ out of $a \cdot 5 + a (- 2 \cdot 2)$ .

$\frac{a \cdot (5 - 2 \cdot 2)}{6}$

Step 4.1.4

Multiply $a$ by $5 - 2 \cdot 2$ .

$\frac{a (5 - 2 \cdot 2)}{6}$

Step 4.2

Multiply $- 2$ by $2$ .

$\frac{a (5 - 4)}{6}$

Step 4.3

Subtract $4$ from $5$ .

$\frac{a \cdot 1}{6}$