What is x+2/x * 10/30

Question

Mathematics

Kaeden

31 July, 17:35

What is x+2/x * 10/30

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Answers (1)

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Sydney Yoder · Answer 1

X + (2 10) / (30 x)

The gcd of 10 and 30 is 10, so 10/30 = (10*1) / (10*3) = 10/10*1/3 = 1/3:

x + 2 / (3 x)

Put each term in x + 2 / (x 3) over the common denominator 3 x: x + 2 / (x 3) = (3 x^2) / (3 x) + 2 / (3 x):

(3 x^2) / (3 x) + 2 / (3 x)

(3 x^2) / (3 x) + 2 / (3 x) = (3 x^2 + 2) / (3 x):

Answer: (3 x^2 + 2) / (3 x)