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Question

Select the greatest fraction.

A
2812
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B
2718
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C
5224
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D
266
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Solution

The correct option is D 266
Since the given fractions are unlike fractions, we first have to convert them to equivalent fractions with same denominators.

2812=28 ÷ 212 ÷ 2=146

2718=27 ÷ 318 ÷ 3=96

5224=52 ÷ 424 ÷ 4=136

266 already has 6 in the denominator.

Since 9<13<14<26, we have 2718<5224<2812<266.

Thus, 266 is the greatest among the given fractions.

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