Find the greatest among these fractions.
5/11, 3/15, 12/11, 4/7, 9/12

Correct option is A

Given:

Fractions: 5/11, 3/15, 12/11, 4/7, 9/12

Concept Used:

To compare fractions, convert them into decimals.

Solution:
5/11 = 0.454
3/15 = 0.2
12/11 = 1.090
4/7 = 0.571
9/12 = 0.75
Thus, the greatest fraction is 12/11.

Alternate Method:

The fraction with the highest percentage value will be the greatest.

Percentage = (5/11) × 100 ≈ 45.45%
Percentage = (3/15) × 100 = 20%
Percentage = (12/11) × 100 ≈ 109.09%
Percentage = (4/7) × 100 ≈ 57.14%

Percentage = (9/12) × 100 = 75%

Hence, the greatest fraction is 12/11.

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