Calculate the following expression: ( 23 - 14) + ( 14 - 15) + ( 15 - 16) + ( 16 - 17) =

Calculate the following expression: ( 23 - 14… | GMAT Sprint

Free Practice Question

PS · Problem Solving

sub-505

Arithmetic

Calculate the following expression: $(\frac{2}{3} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{6}) + (\frac{1}{6} - \frac{1}{7}) =$

Correct answer marked below

-\frac{1}{7}

\frac{1}{4}

\frac{9}{21}

\frac{11}{21}

Correct

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

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

Explanation

Preview

Official

The expression simplifies through telescoping:

( \frac{2}{3} - \frac{1}{4} + \frac{1}{4} - \frac{1}{5} + \frac{1}{5} - \frac{1}{6} + \frac{1}{6} - \frac{1}{7} )

…

Comments

JJan 19, 2025

good question

JasonJul 19, 2024

Thankss

NwokaJul 10, 2024

pls explain more?

What this question tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Applying the order of operations out of sequence or rounding intermediate values before the final step.