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m_a_m_a [10]
3 years ago
5

What is the least common denominator of the fraction 4 over x plus the fraction 2 x over x minus 1 plus the fraction x plus 3 ov

er 2 x
Mathematics
1 answer:
DedPeter [7]3 years ago
8 0
So,

\frac{4}{x} +  \frac{2x}{x - 1} +  \frac{x + 3}{2x}

Look at all three denominators.
x, x - 1, 2x

Factor them completely.
(x), (x - 1), (2)(x)

Putting them together, we would get the following:
(2)(x)(x-1)\ or\ 2x^2 - 2x
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1. Emma used elimination to solve this system of linear equations. 3x + 5y = -17 2x + 4y = 6 Which equation did Emma have after
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2y=52

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Kimane and a friend picked apples. Kimane picked 4 2/3 and his friend picked 5 5/6 pounds. About how many pound of apples do the
Gala2k [10]

Answer:

9\dfrac{1}{2}

Step-by-step explanation:

To find many more pounds of apples Kimane and his friend needs to get, we first need to find out how many pounds of apples they picked together.

Kimane = 4\dfrac{2}{3}

Friend = 5\dfrac{5}{6}

We add them together to find out how many pounds of apples they currently have.

Total Pounds = 4\dfrac{2}{3}+5\dfrac{5}{6}

Just to make the equation clearer, we separate the whole numbers from the fractions.

=4+5+\dfrac{2}{3}+\dfrac{5}{6}

=9+\dfrac{2}{3}+\dfrac{5}{6}

Now since we cannot add the 2 fractions directly since they have different denominators, we need to convert the /dfrac{2}{3} into a fraction with the same denominator.

We multiply both the numerator and denominator by 2 to have the same denominator.

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So now we have:

=9+\dfrac{4}{6}+\dfrac{5}{6}

=9+\dfrac{9}{6}or1\dfrac{1}{2}

Total Pounds = 10\dfrac{1}{2}

Now that we know how many pounds Kimane and his friend collected, we simply subtract 20 and the total amount Kimane and his friend had already collected.

20-10\dfrac{1}{2}

=9\dfrac{1}{2}

So Kimane and his friend still need to get 9\dfrac{1}{2} more pounds of apples to get 20 pounds of apples.

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3 years ago
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