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sergey [27]
3 years ago
9

5/6 + 1/3 adding fractions with unlike denominators.

Mathematics
1 answer:
Phantasy [73]3 years ago
4 0

Answer: 7/6 or 1 1/6

Step-by-step explanation:

First, convert all the fractions so that they have like denominators, using LCM, or Least Common Multiple. This means that you must find the least common multiple that the two denominators share, which in this case is 6. 6 will become the denominator for both fractions  At this point, to find the numerators, I use my own sort of mental method to get the answer. I first take the LCM and divide it by the denominator of one of the fractions (let's do 1/3) which would give me 2. Then multiply this number by the numerator of the same fraction you started with, which is 2 again. So, your new fraction is 2/6. Since 5/6 already has a denominator of 6, you don't have to do anything, but if it did, you would just repeat the same method. At this point, the new problem is 5/6 + 2/6. Add like normal, and leave in either improper form (7/6) or mixed numbers (1 1/6) based on instructions.

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3 years ago
Find the remainder for the quotient using either substitution or synthetic division.
zaharov [31]

(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.

<h3>What is a factor of a polynomial?</h3>

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial function f(x) = x³ - x² - 17x -15.

If (x - 5) is it's factor then f(5) = 0.

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f(5) = 5³ - 5² - 17(5) - 15.

f(5) = 125 - 25 - 85 - 15.

f(5) = 0.

So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.

learn more about factor of a polynomial here :

brainly.com/question/26354419

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