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In Mathematics / High School | 2014-11-10

Choose a mixed number greater than 8.45.

A. 8 3/8
B. 8 4/9
C. 8 3/5
D. 8 5/12

Asked by lilahvei11122002

Answer (2)

8.45 = 8 45/100 = 8 9/20 = 169/20
A. 8 3/8 = 67/8 B. 8 4/9 = 76/9 C. 8 3/5 = 43/5 D. 8 5/12 = 101/12
The common denominator of all those fractions is 360, so we can write them as:
8.45 = 3042/360
A. 8 3/8 = 3015/360 B. 8 4/9 = 3040/360 C. 8 3/5 = 3096/360 D. 8 5/12 = 3030/360
As a mixed numbers:
8.45 = 8 162/360
A. 8 3/8 = 8 135/360 B. 8 4/9 = 8 160/360 C. 8 3/5 = 8 216/360 D. 8 5/12 = 8 150/360
Now we can easily see that only 8 216/360 is greater than 8 162/360. It means the correct answer is C: From the given mixed numbers, only 8 3/5 is greater than 8.45 .

Answered by SlowZasob | 2024-06-10

The mixed number chosen that is greater than 8.45 is C. 8 3/5, as it equals 8.6, which exceeds 8.45. The other options are all less than 8.45.
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Answered by SlowZasob | 2024-12-26

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