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2 years ago

What is 10 51/77 as a improper fraction

Mathematics

1 answer:

Natali5045456 [20]2 years ago

6 0

Answer: 821/77

Step-by-step explanation:

First multiply 10 by 77 (770) , then add 51 (821)

Set 821 as the numerator or top

Keep 77 as the denominator

Final answer is 821/77

Hope this helps!

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During a birthday party, 1/4 drank fanta orange, 1/3 took coca cola 1/5 of the remainder drank sprite and the rest took krest wh

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1/12

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2 years ago

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11 months ago

Determine the coefficient of x^3 in the expansion of (1 – x)^5(1 + 1/x)^5

Mkey [24]

Notice that

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$\displaystyle(a+b)^n = \sum_{k=0}^n\binom nk a^{n-k}b^k$

Let a = 1/x, b = -x, and n = 5. Then

$\displaystyle\left(\frac1x-x\right)^5 = \sum_{k=0}^5\binom5k\left(\frac1x\right)^{5-k}(-x)^k = \sum_{k=0}^5 (-1)^k\binom5k x^{2k-5}$

We get an x ³ term for

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so that the coefficient would be

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2 years ago