Which of the following lists three fractions in ascending order?

Question

A. 9/26, 1/4, 3/10

B. 9/26, 3/10, 1/4

C. 1/4, 9/26, 3/10

D. 1/4, 3/10, 9/26

E. 3/10, 9/26, 1/4

EgmatQuantExpert · Answer

Solution 
  To find:  
 • Which option lists fractions in ascending order

Approach and Working:   
 •  \frac{9}{26}

•  \frac{1}{4} = \frac{9}{4*9} = \frac{9}{36}

•  \frac{3}{10} = \frac{3*3}{10*3} = \frac{9}{30}

Thus,  \frac{9}{26} > \frac{9}{30} > \frac{9}{36} 
 • Therefore, ascending order of these numbers will be  \frac{1}{4}, \frac{3}{10}, \frac{9}{26}

Hence, the correct answer is Option D

Answer: D

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Archit3110 · Answer

9/26 multiply nr & dr by same integer to get nr as 9 in 1/4 ad 3/10 9/26, 9/36 , 9/30 so 9/26>9/30>9/36 or say 1/4<3/10< 9/26 IMO D

ScottTargetTestPrep · Answer

First we can see that 1/4, or 0.25, is less than 3/10, or 0.3, so we can eliminate answer choices B and E.

Now we need to determine which is greater, 3/10 or 9/26. Getting common numerators,we have:

3/10 = 9/30

We compare 9/30 to 9/26. The one with the smaller denominator has the greater value. So we see that 9/26 is greater than 3/10.

Answer: D

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