Question

On Saturday, Louise ran X miles, Beth ran Y miles, and Staci ran Z miles. Which list shows these distances in order from greatest to least?

Option 1: Z, Y, X
Option 2: X, Y, Z
Option 3: Z, X, Y
Option 4: Y, Z, X

Answer 1

The list that shows the distances from greatest to least is b) 4 3/5 miles, 45/10 miles, 19/4 miles.

Step-by-step explanation:

To compare the distances, we need to ensure they have a common denominator. We can do this by converting all the mixed numbers to fractions and then using the least common multiple of the denominators:

Louise: 19/4 = 47.5/10

Beth: 45/10

Staci: 23/5 = 46/10

Now, comparing the fractions:

46/10 (Staci) < 47.5/10 (Louise) < 45/10 (Beth)

Therefore, the order from greatest to least is 4 3/5 miles, 45/10 miles, 19/4 miles, which corresponds to option b.

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Correct Question

On Saturday, Louise ran 19/4 miles, Beth ran 45/10, Staci ran 4 3/5 miles. Which list shows these distances in order from greatest to least?

a) 19/4 miles, 4 3/5 miles, 45/10 miles

b) 4 3/5 miles, 45/10 miles, 19/4 miles

c) 45/10 miles, 19/4 miles, 4 3/5 miles

d) 45/10 miles, 4 3/5 miles, 19/4 miles

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