Question

Which of the following ratios is not in the lowest terms?

• A. 27:28
• B. 27:63
• C. 27:35
• D. 27:49

Answer 1

The correct option is B

27:63

The lowest term for ratios or fractions is the term in which numerator and denominator have their HCF 1.
We are checking all four options here
Option A 27:28
Also, write as $\frac{27}{28}$
There is no common factor other than 1 in 27 and 28, so it is the lowest term of ratio 27:28
Option B 27:63
Also, write as $\frac{27}{63}$=$\frac{9\times 3}{9\times 7}$= $\frac{3}{7}$
There is no common factor other than 1 in 3 and 7, so 3:7 is the lowest term of the ratio 27:63

Option C 27:35
Also, write as $\frac{27}{35}$
There is no common factor other than 1 in 27 and 35, so it is the lowest term of ratio 27:35
Option D 27:49
Also, write as $\frac{27}{49}$
There is no common factor other than 1 in 27 and 49, so it is the lowest term of ratio 27:49.
So, Option B is correct.