\(\dfrac{2\frac35-1\frac23}{\frac23-\frac35}\)

This topic has expert replies
Legendary Member
Posts: 823
Joined: 01 Mar 2018
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

\(\dfrac{2\frac35-1\frac23}{\frac23-\frac35}\)

(A) 16
(B) 14
(C) 3
(D) 1
(E) -1

Answer: B

Source: Official Guide

Legendary Member
Posts: 1974
Joined: 02 Mar 2018
Followed by:4 members
$$\frac{2\frac{3}{5}-1\frac{2}{3}}{\frac{2}{3}-\frac{3}{5}}=\frac{\frac{13}{5}-\frac{5}{3}}{\frac{2}{3}-\frac{3}{5}}$$
$$=\frac{\frac{39-25}{15}}{\frac{10-9}{15}}$$
$$=\frac{\frac{14}{15}}{\frac{1}{15}}$$
$$=\frac{14}{15}\cdot\frac{15}{1}=14$$
Answer = option B

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 5549
Joined: 25 Apr 2015
Location: Los Angeles, CA
Thanked: 43 times
Followed by:24 members
Gmat_mission wrote:
Thu Sep 24, 2020 2:24 am
\(\dfrac{2\frac35-1\frac23}{\frac23-\frac35}\)

(A) 16
(B) 14
(C) 3
(D) 1
(E) -1

Answer: B

Source: Official Guide
Solution:

We want to rid both the numerator and denominator of fractions. Multiplying the expression by 15/15, we have:

[(30 + 9) - (15 + 10)] / (10 - 9) = (39 - 25)/1 = 14

Answer: B

Scott Woodbury-Stewart
Founder and CEO
scott@targettestprep.com

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage