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Colt1911 [192]
3 years ago
10

Find the least common denominators of these two rational experssions -1/y and 2/5y

Mathematics
1 answer:
algol133 years ago
6 0
The least common denominator is 5y, and can be obtained by multiplying 
-1/y by 5/5 to get -5/5y. 

If we add the numbers using the least common denominator, we get:
-5/5y + 2/5y = -3/5y
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Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
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  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
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  • 2b²/(b² - 1) = 3b/(1 - b)
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<u>Finding a:</u>

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  • -9/5*5/8 =
  • -9/8

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  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
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