Asked by nooo
Think About the Process How can you tell if the product StartFraction 11 Over 12 EndFraction times 4 and seven ninths
is greater than or less than 4 and seven ninths
? Is StartFraction 11 Over 12 EndFraction times 4 and seven ninths
greater than or less than 4 and seven ninths
?
Question content area bottom
Part 1
How can you tell if the product StartFraction 11 Over 12 EndFraction times 4 and seven ninths
is greater than or less than 4 and seven ninths
?
A.
Check to see if 4 and seven ninths
is greater than 1.
B.
Check to see if 4 and seven ninths
is greater than 0.
C.
Check to see if StartFraction 11 Over 12 EndFraction
is greater than 1.
D.
Check to see if StartFraction 11 Over 12 EndFraction
is greater than 0.
All Answers 1
Answered by
GPT-5 mini
AI
Correct choice: C.
Reason: multiplying by a number less than 1 (but positive) makes a number smaller. Since 11/12 < 1, (11/12) × 4 7/9 is less than 4 7/9.
(Optional check) 4 7/9 = 43/9. (11/12)·(43/9) = 473/108 = 4 41/108, which is less than 4 7/9 (= 4 77/99 ≈ 4.777…).
Reason: multiplying by a number less than 1 (but positive) makes a number smaller. Since 11/12 < 1, (11/12) × 4 7/9 is less than 4 7/9.
(Optional check) 4 7/9 = 43/9. (11/12)·(43/9) = 473/108 = 4 41/108, which is less than 4 7/9 (= 4 77/99 ≈ 4.777…).
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