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Simplify the expression $\frac{\frac{1}{-\frac{1}{2}+x}+2}{x}$

Step-by-step Solution

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Final Answer

$\frac{2}{-\frac{1}{2}+x}$
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Step-by-step Solution

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Divide $-1$ by $2$

$\frac{\frac{1}{-\frac{1}{2}+x}+2}{x}$

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

$\frac{\frac{1}{-\frac{1}{2}+x}+2}{x}$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (1/(-1/2+x)+2)/x. Divide -1 by 2. Combine \frac{1}{-\frac{1}{2}+x}+2 in a single fraction. Divide fractions \frac{\frac{1+2\left(-\frac{1}{2}+x\right)}{-\frac{1}{2}+x}}{x} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Multiply the single term 2 by each term of the polynomial \left(-\frac{1}{2}+x\right).

Final Answer

$\frac{2}{-\frac{1}{2}+x}$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind (1/(-1/2+x)+2)/x using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Plotting: $\frac{2}{-\frac{1}{2}+x}$

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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

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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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