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Simplify the addition of fractions $\frac{x}{2}+\frac{x}{3}$

Step-by-step Solution

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Solution

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Final Answer

$\frac{5}{6}x$
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Step-by-step Solution

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Combining like terms $\frac{x}{2}$ and $\frac{x}{3}$

$\left(\frac{1}{2}+\frac{1}{3}\right)x$

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

$\left(\frac{1}{2}+\frac{1}{3}\right)x$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the addition of fractions x/2+x/3. Combining like terms \frac{x}{2} and \frac{x}{3}. Divide 1 by 2. Divide 1 by 3. Add the values \frac{1}{2} and \frac{1}{3}.

Final Answer

$\frac{5}{6}x$

Explore different ways to solve this problem

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 x/2+x/3 using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{5}{6}x$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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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$\frac{m^3n\sqrt{x}}{\left(2^4 m^7 n^6\cdot x\right)^{\frac{1}{5}}}$

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$\frac{4x^2+12y\cdot x+9y^2}{3y+2x}$

$\frac{\frac{x^2-16}{x-1}}{\frac{x^2+6x+8}{x^2+2x-3}}$

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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