Using computation, which of the following statements is true? (1 point)

3 5/5 - 2/1 - 3 1/8

4 1/3 * 1/4 < 4 1/3

5 2/8 - 7/8 > 5 3/8

17/4 * 17/4 < 17/4

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To determine which statement is true, we need to compute the values on both sides of each inequality.

First, let's simplify the expression:
3 5/5 - 2/1 - 3 1/8 = 3 + 1 - 3 - 1/8 = 4 - 3 - 1/8 = 1 - 1/8 = 7/8

Next, let's simplify the next expression:
4 1/3 * 1/4 = (4 * 3 + 1) / 3 * 1/4 = (12 + 1) * 1/3 * 1/4 = 13/3 * 1/4 = 13/12

Comparing the values, we have:
7/8 > 13/12

Now, let's simplify the third expression:
5 2/8 - 7/8 = (5 * 8 + 2) / 8 - 7/8 = (40 + 2) / 8 - 7/8 = 42/8 - 7/8 = 35/8

Comparing the values, we have:
35/8 > 5 3/8

Finally, let's simplify the last expression:
17/4 * 17/4 = (17 * 17) / (4 * 4) = 289/16

Comparing the values, we have:
289/16 > 17/4

From the computations, the only true statement is:
289/16 > 17/4

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