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order the ratios from least to greatest
77 to 16, 39/11, 22.5:5, 8/3

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Answer:

77:16, 22.5:5, 39:11, 8:3

Explanation:

This can be done in two ways, with and without the calculator. Both are pretty much equally simple with the first requiring very basic mental mathematics.

So, lets go through all of them:

8:3 or 8/3 is approximately more than 2 but 2 and 2/3 to be precise, as 8-6 (6 being the closest multiple of 2, that is less than 8) =2.

2/3=2.

So, 8/3 = 2 and 2/3

22.5/5. Closest multiple of 5? 20.

20/5=4

22.5-20=2.5

2.5/5=1/2=0.5

So, 22.5/5=4.5

39/11. Closest multiple of 11? 33.

33/11=3

39-33=6.

So, that would be 3 and 6/11

77/16. Closest multiple of 16? 64.

64/16=4

77-64=13

And that would be 4 and 13/16

Because there are two answers with 4 as the whole number we can find the common denominator to find the greater one.

1/2 = 8/16

13/16 is greater than 8/16 and so 77/16 is the greater of the ratios.

Therefore:

77:16 > 22.5:5 > 39:11 >8:3

Hopefully the answer is correct, helpful and understandable.

With Respect

-I. B.

User Andrei N
by
8.5k points

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