In the expression above, a, b, and c are different numbers and each is

Question

\frac{(\frac{a}{b})}{c}

In the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 5. What is the least possible value of the expression?

(A) 1/30
(B) 2/15
(C) 1/6
(D) 3/10
(E) 5/6

Mohammadmo · Answer

a/bc=2/ 3×5=2/15
Option B

Posted from my mobile device

Efstathios · Answer

So as the fraction to take the least possible value, we want the denominator to take the maximum possible value and the numerator the minimum possible value. So, denominator=c=5 and numerator a/b=2/3=>(a/b)/c=(2/3)/5=2/15=>Right Answer:B

Abhishek009 · Answer

The higher the denominator , the lower the value of the fraction....

Plug in c = 5 , b = 3 and a = 2 and check (other options as well)....

Answer must be (B)

Aafrin64 · Answer

(a/b)/c
which 
= (a/b) * (1/c)
= a/(b*c)

thus b and c are denominator

hence the lowest possible value should have highest denominator, which is 3*5 and leaves numerator 2

SSgmat2024 · Answer

2/15 - B choice as thats the least value of fraction possible among these numbers

In the expression above, a, b, and c are different numbers and each is

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

In the expression above, a, b, and c are different numbers and each is

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards