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Which of the following products is in the correct order from least to greatest?

a) 4 4/7 • 4 4/7
b) 5 5/7 • (-6 6/7)
c) -5 1/8 • (-2 1/4)

1 Answer

2 votes

Final answer:

The correct order from least to greatest is c) -5 1/8 * (-2 1/4), a) 4 4/7 * 4 4/7, b) 5 5/7 * (-6 6/7).

Step-by-step explanation:

To determine the correct order of the given products, we need to multiply the numbers using mixed numbers and convert the results to improper fractions.

a) 4 4/7 * 4 4/7 = (31/7) * (31/7) = 961/49

b) 5 5/7 * (-6 6/7) = (46/7) * (-55/7) = -2530/49

c) -5 1/8 * (-2 1/4) = (41/8) * (9/4) = -369/32

So the correct order from least to greatest is: c) -5 1/8 * (-2 1/4), a) 4 4/7 * 4 4/7, b) 5 5/7 * (-6 6/7).

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