Identify which of the following fractions res… | GMAT Sprint

Free Practice Question

PS · Problem Solving

555-605

Fractions/Ratios/Decimals

Identify which of the following fractions results in a decimal that terminates.

Answer Choices

Correct answer marked below

12/175

18/245

20/300

30/196

45/64

Correct

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

To determine if a fraction

\frac{a}{b}

can be expressed as a terminating decimal, we need to check if the denominator

b

can be factored into the form

2^n 5^m

, where

n

and

m

are non-negative integers.

For instance, the fraction

\frac{45}{64}

simplifies to

\frac{45}{2^6}

, which confirms that the denominator consists solely of the prime factor 2.…

Read the full explanation

Create free account Sign in

Comments

RohitSep 6, 2024

how much time should this take to solve?

DivyanshSep 18, 2024

thanks

What this question tests

What it tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Common trap

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.