Question

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Frankie and Gus swam for 10 minutes. When the time was up, Frankie had completed 10 7/10 laps and Gus 10 4/5 had completed laps. Frankie wrote the inequality 10 7/10 > 10 4/5 to show who swam the longest distance. Was he correct? Explain your answer by describing where the numbers would be positioned on a number line.

Answer 1

Frankie is incorrect.

Explanation:

Change 4/5 to 8/10.

You are comparing 10 7/10 to 10 8/10.

10 4/5 (which is also 10 8/10) can be written as 10.8

10 7/10 can be written as 10.7

10.8 > 10.7, so 10 4/5 > 10 7/10 is correct,

and 10 7/10 > 10 4/5 is incorrect.

Frankie is incorrect.

On a number line, show 10 and 11.

Make 10 equal spaces between 10 and 11. Each space is 1/10.

10 7/10 is one space to the left of 10 4/5, so 10 7/10 is less than 10 4/5.