Simplify the expression $\frac{8a^2+12ab}{8a^2}$

Step-by-step Solution

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Final answer to the problem

$\frac{2a+3b}{2a}$
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Step-by-step Solution

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
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1

Factor the polynomial $8a^2+12ab$ by it's greatest common factor (GCF): $4a$

$\frac{4a\left(2a+3b\right)}{8a^2}$

Learn how to solve simplification of algebraic fractions problems step by step online.

$\frac{4a\left(2a+3b\right)}{8a^2}$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (8a^2+12ab)/(8a^2). Factor the polynomial 8a^2+12ab by it's greatest common factor (GCF): 4a. Simplify the fraction by a. Cancel the fraction's common factor 4.

Final answer to the problem

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

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Function Plot

Plotting: $\frac{2a+3b}{2a}$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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