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Which of the following fractions is in its lowest terms?
Question

Which of the following fractions is in its lowest terms?

A.

28/79

B.

31/186

C.

9/156

D.

57/152

Correct option is B

Concept Used:

A fraction is in lowest terms if HCF (GCD) of numerator and denominator = 1

Solution:

Option A: 2879\frac{28}{79} ​​

79 is a prime number

79 does not divide 28

HCF = 1 

fraction is in lowest term.

Option B: 31186 \frac{31}{186}​​

186 = 31 × 6

HCF = 31

fraction is not in lowest term.

Option C:  9156\frac{9}{156}​​

9 = 3 × 3, 156 = 3 × 52

HCF = 3

fraction is not in lowest term.

Option D: 57152\frac{57}{152}​​

57 = 3 × 19, 152 = 8 ×19

HCF = 19

fraction is not in lowest term.

Thus, option(A) is correct.

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