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# M12-22

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Math Expert
Joined: 02 Sep 2009
Posts: 58311
M12-22  [#permalink]

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16 Sep 2014, 00:47
1
1
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:00) correct 26% (01:07) wrong based on 81 sessions

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What is the ratio of $$\frac{21}{20}$$ to 2.625?

A. 0.21
B. 0.25
C. 0.34
D. 0.40
E. 0.67

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Math Expert
Joined: 02 Sep 2009
Posts: 58311
Re M12-22  [#permalink]

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16 Sep 2014, 00:47
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Official Solution:

What is the ratio of $$\frac{21}{20}$$ to 2.625?

A. 0.21
B. 0.25
C. 0.34
D. 0.40
E. 0.67

$$2.625=2\frac{625}{1,000}=2\frac{5}{8}=\frac{21}{8}$$.

So, $$\frac{(\frac{21}{20})}{(\frac{21}{8})}=\frac{21}{20}*\frac{8}{21}=\frac{8}{20}=0.4$$.

Answer: D
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Intern
Joined: 27 Jul 2016
Posts: 14
M12-22  [#permalink]

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26 Aug 2016, 08:48
get a common denominator:
2.625 * 20 = 52.5

21 / 52.5 = ~2/5 = .4
Director
Joined: 02 Sep 2016
Posts: 649
M12-22  [#permalink]

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09 Jan 2017, 10:12
1
I don't know if this method is correct but it got me the correct answer.

2.625 is approximately equal to 3 (round off)

21/20*3= 0.35 which is closer to 0.4
Intern
Joined: 02 Jun 2015
Posts: 20
Location: United States
Re: M12-22  [#permalink]

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18 Mar 2018, 11:18
Ratio 21/20 to 2.625 ??

Round up 2.625 to 3, and it will be..

Ratio 21/20 to 3

21/20 divided by 3 will be:

21/20 times 1/3 = 7/20

Then, 7/20 multiplied top and bottom by 5 will be: 35/100 = 0.35 That's is closest to 0.40 (D)

Hope it helps!

Thanks, Ale
Re: M12-22   [#permalink] 18 Mar 2018, 11:18
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# M12-22

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