Subtract the following fractions and reduce the difference 1/2 - 1/14

Question

Mathematics

Friday

11 November, 04:37

Subtract the following fractions and reduce the difference 1/2 - 1/14

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Answers (1)

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Declan Gallagher · Answer 1

3/7

Step-by-step explanation:

Simplify the following:

1/2 - 1/14

Put 1/2 - 1/14 over the common denominator 14. 1/2 - 1/14 = 7/14 - 1/14:

7/14 - 1/14

7/14 - 1/14 = (7 - 1) / 14:

(7 - 1) / 14

7 - 1 = 6:

6/14

The gcd of 6 and 14 is 2, so 6/14 = (2*3) / (2*7) = 2/2*3/7 = 3/7:

Answer: 3/7