Question

which of the following is a smaller fraction 4/5 b 5/3 c 5/6 d 5/2
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Answer 1

Answer:

Making the denominator same by taking LCM

4/5, 5/3, 5/6, 5/2

LCM is 60

4/5 = 48/60

5/3 = 100/60

5/6 = 50/60

5/2 = 150/60

So, clearly 48/60 or 4/5 is smallest fraction

Answer 2

Answer:

First of all take the LCM of all the denominators i.e. 5, 3, 6 and 2 and the LCM = 30.

Now, multiply 30 in each fraction i.e.

(4/5)×30 = 24

(5/3)×30 = 50

(5/6)×30 = 25

(5/2)×30 = 75

So, 75 > 50 > 25 > 24

i.e. 5/2 > 5/3 > 5/6 > 4/5

Hence, the smallest fraction = 4/5

Other method :-

Convert the fractions into decimals

4/5 = 0.8

5/3 = 1.67

5/6 = 0.83

5/2 = 2.5

So, 2.5 > 1.67 > 0.83 > 0.8

i.e. 5/2 > 5/3 > 5/6 > 4/5

Hence, the smallest fraction = 4/5.

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