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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 A

Given
Four fractions are given.
Formula / Concept used
A fraction is in its lowest terms if the numerator and denominator cannot be divided by the same number other than 1.
Solution (using divide method)
Option A: 28 / 79
28 ÷ 79 = 0.354…
79 is a prime number and does not divide 28.
No common number can divide both 28 and 79 except 1.
Fraction is in lowest terms.
Option B: 31 / 186
31 ÷ 186 = 0.1666…
Both 31 and 186 can be divided by 31.
186 ÷ 31 = 6
Fraction is not in lowest terms.
Option C: 9 / 156
9 ÷ 156 = 0.0576…
Both 9 and 156 can be divided by 3.
Fraction is not in lowest terms.
Option D: 57 / 152
57 ÷ 152 = 0.375
Both 57 and 152 can be divided by 19.
Fraction is not in lowest terms.
The correct option is (A)
Exam Hall Method:

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