Method 1: Converting to Decimals
· (a) 7/3 ≈ 2.33
· (b) 25/7 ≈ 3.57
· (c) 35/9 ≈ 3.89
· (d) 19/2 = 9.5
Method 2: Finding a Common Denominator
A common denominator for all these fractions is 63.
· (a) 7/3 = 147/63
· (b) 25/7 = 225/63
· (c) 35/9 = 245/63
· (d) 19/2 = 585/63
Now we can easily compare the numerators, and we see that 585 is the largest.
Therefore, the greatest ratio is (d).
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