Question

# Which of the following fractions lie between 38 and 78 on the number line?

A

12

B

14

C

2016

D

98

Solution

## The correct option is A 12 Converting the given fractions into equivalent fractions with denominator 8, we have ​1×42×4=48 1×24×2=28 ​9×18×1=98 ​20÷216÷2=108 Since 3<4<8, we have 38<48<78 i.e., 38<12<78 Thus, 12 lies between 38 and 78.

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