143k views
1 vote
Which difference will be closest to 1/2?

A) 7/8 - 5/6
B) 45 - 1/10
C) 7/12 - 1/6
D) 9/10 - 1/8

User Lccarrasco
by
7.9k points

1 Answer

5 votes

Final answer:

Upon evaluating all the options by finding common denominators and performing the subtractions, Option D (9/10 - 1/8) results in the difference closest to 1/2.

Step-by-step explanation:

To find which difference will be closest to 1/2, we need to compare the differences between the pairs of fractions (and numbers) provided. Let's evaluate each option:

  1. 7/8 - 5/6: To subtract these fractions, we need a common denominator. The least common multiple of 8 and 6 is 24, so 7/8 becomes 21/24 and 5/6 becomes 20/24. The difference is 1/24, which is much less than 1/2.
  2. 45 - 1/10: Subtracting 1/10 from 45 leaves us with 44.9, which is much larger than 1/2.
  3. 7/12 - 1/6: The common denominator between 12 and 6 is 12, so we rewrite 1/6 as 2/12. Then, 7/12 - 2/12 equals 5/12, which is close to 1/2 but a little more.
  4. 9/10 - 1/8: Finding a common denominator for 10 and 8, which is 40, we get 36/40 minus 5/40, which results in 31/40. This difference is the closest to 1/2 as it is slightly more than 3/4 and less than 1.

Option D, 9/10 - 1/8, will provide the difference closest to 1/2 when compared to the other options presented.

User Pod Mays
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.