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Question

Which of the following fraction is greatest in value?

A
12
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B
23
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C
34
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D
36
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Solution

The correct option is C 34
Comparing 12, 23, 34, and 36, we get,
12 is the first common multiple of 2, 3, 4, and 6.
12 = 1 × 62 × 6 = 612

23 = 2 × 43 × 4 = 812

34 = 3 × 34 × 3 = 912

36 = 3 × 26 × 2 = 612

When the fractions have the same denominator, the fraction with greater numerator has greater value.

So, the fraction 912 has greatest numerator.
Therefore, the greatest fraction among the given options is 34.

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