Simplify (4a)/(a^2)-7/(8a)

$\frac{4 a}{a^{2}} - \frac{7}{8 a}$

Cancel the common factor of $a$ and $a^{2}$ .

Factor $a$ out of $4 a$ .

$\frac{a \cdot 4}{a^{2}} - \frac{7}{8 a}$

Cancel the common factors.

Factor $a$ out of $a^{2}$ .

$\frac{a \cdot 4}{a \cdot a} - \frac{7}{8 a}$

Cancel the common factor.

$\frac{a \cdot 4}{a \cdot a} - \frac{7}{8 a}$

Rewrite the expression.

$\frac{4}{a} - \frac{7}{8 a}$

To write $\frac{4}{a}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{4}{a} \cdot \frac{8}{8} - \frac{7}{8 a}$

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

Multiply $\frac{4}{a}$ by $\frac{8}{8}$ .

$\frac{4 \cdot 8}{a \cdot 8} - \frac{7}{8 a}$

Move $8$ to the left of $a$ .

$\frac{4 \cdot 8}{8 a} - \frac{7}{8 a}$

Combine the numerators over the common denominator.

$\frac{4 \cdot 8 - 7}{8 a}$

Simplify the numerator.

Multiply $4$ by $8$ .

$\frac{32 - 7}{8 a}$

Subtract $7$ from $32$ .

$\frac{25}{8 a}$