Simplify 9/8a+4/8a-5/8

$\frac{9}{8} a + \frac{4}{8} a - \frac{5}{8}$

Simplify each term.

Combine $\frac{9}{8}$ and $a$ .

$\frac{9 a}{8} + \frac{4}{8} a - \frac{5}{8}$

Cancel the common factor of $4$ and $8$ .

Factor $4$ out of $4$ .

$\frac{9 a}{8} + \frac{4 (1)}{8} a - \frac{5}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$\frac{9 a}{8} + \frac{4 \cdot 1}{4 \cdot 2} a - \frac{5}{8}$

Cancel the common factor.

$\frac{9 a}{8} + \frac{4 \cdot 1}{4 \cdot 2} a - \frac{5}{8}$

Rewrite the expression.

$\frac{9 a}{8} + \frac{1}{2} a - \frac{5}{8}$

Combine $\frac{1}{2}$ and $a$ .

$\frac{9 a}{8} + \frac{a}{2} - \frac{5}{8}$

To write $\frac{a}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{9 a}{8} + \frac{a}{2} \cdot \frac{4}{4} - \frac{5}{8}$

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{a}{2}$ by $\frac{4}{4}$ .

$\frac{9 a}{8} + \frac{a \cdot 4}{2 \cdot 4} - \frac{5}{8}$

Multiply $2$ by $4$ .

$\frac{9 a}{8} + \frac{a \cdot 4}{8} - \frac{5}{8}$

Simplify terms.

Combine the numerators over the common denominator.

$\frac{9 a + a \cdot 4}{8} - \frac{5}{8}$

Combine the numerators over the common denominator.

$\frac{9 a + a \cdot 4 - 5}{8}$

Move $4$ to the left of $a$ .

$\frac{9 a + 4 a - 5}{8}$

Add $9 a$ and $4 a$ .

$\frac{13 a - 5}{8}$