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

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by VJesus12 » Mon Apr 01, 2019 4:10 am
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$$\frac{1}{2}+\frac{\frac{2}{3}\cdot\frac{3}{8}}{4}-\frac{9}{16}=?$$

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

[spoiler]OA=E[/spoiler]

Source: Official Guide
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by Jay@ManhattanReview » Wed Apr 03, 2019 3:49 am
VJesus12 wrote:$$\frac{1}{2}+\frac{\frac{2}{3}\cdot\frac{3}{8}}{4}-\frac{9}{16}=?$$

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

[spoiler]OA=E[/spoiler]

Source: Official Guide
We have $$\frac{1}{2}+\frac{\frac{2}{3}\cdot\frac{3}{8}}{4}-\frac{9}{16}$$
$$\frac{1}{2}+\frac{1}{16}-\frac{9}{16}$$
$$\frac{8}{16}+\frac{1}{16}-\frac{9}{16}$$
= 0

The correct answer: E

Hope this helps!

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by Scott@TargetTestPrep » Thu Apr 04, 2019 5:12 pm
VJesus12 wrote:$$\frac{1}{2}+\frac{\frac{2}{3}\cdot\frac{3}{8}}{4}-\frac{9}{16}=?$$

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

[spoiler]OA=E[/spoiler]

Source: Official Guide
Simplifying, we have:

1/2 + (1/4)/4 - 9/16

1/2 + 1/16 - 9/16

Getting a common denominator of 16, we obtain:

8/16 + 1/16 - 9/16 = 0

Answer: E

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