1/2 + [(2/3)(3/8)/4] (OG2016)

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boomgoesthegmat: Senior | Next Rank: 100 Posts; Posts: 93; Joined: Mon Apr 25, 2016 2:22 pm; Thanked: 1 times; Followed by:1 members

by boomgoesthegmat » Fri May 06, 2016 12:35 pm

1/2 + [(2/3)(3/8)/4] - 9/16 =

(A) 29/16
(B) 19/16
(C) 15/16
(D) 9/13
(E) 0

OA: E

Source: Beat The GMAT — Problem Solving | Fri May 06, 2016 12:35 pm

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Sat May 07, 2016 6:43 am

boomgoesthegmat wrote:1/2 + [(2/3)(3/8)/4] - 9/16 =

(A) 29/16
(B) 19/16
(C) 15/16
(D) 9/13
(E) 0

1/2 + [(2/3)(3/8)/4] - 9/16 = 1/2 + [(1/4)/4] - 9/16
= 1/2 + [1/16] - 9/16
= 8/16 + [1/16] - 9/16
= 0
= E

Cheers,
Brent

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Matt@VeritasPrep: GMAT Instructor; Posts: 2630; Joined: Wed Sep 12, 2012 3:32 pm; Location: East Bay all the way; Thanked: 625 times; Followed by:119 members; GMAT Score:780

by Matt@VeritasPrep » Thu May 12, 2016 12:40 am

1/2 + (2/3)*(3/8)/4 - 9/16 = x

Multiply both sides by 16

8 + 1 - 9 = x

0 = x

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