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fastest way to calculate 1800/2.25

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fastest way to calculate 1800/2.25  [#permalink]

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New post 14 May 2014, 19:39
I am ok with solving the problems but simple calculation such as 1800/2.25 slows me down by a lot. Do you have any fast and easy way to solve this division?

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Re: fastest way to calculate 1800/2.25  [#permalink]

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New post 14 May 2014, 20:01
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lincolnlog wrote:
I am ok with solving the problems but simple calculation such as 1800/2.25 slows me down by a lot. Do you have any fast and easy way to solve this division?

1800/2.25=1800/(9/4)=1800*4/9=800
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Re: fastest way to calculate 1800/2.25  [#permalink]

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New post 14 May 2014, 22:25
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lincolnlog wrote:
I am ok with solving the problems but simple calculation such as 1800/2.25 slows me down by a lot. Do you have any fast and easy way to solve this division?


Usually, converting decimals to fractions is advisable. Don't try to divide 1800 by 2.25. Convert 2.25 to fraction form: 2.25 = 225/100 = 9/4 (Note that both 225 and 100 are divisible by 25) It's good to know the multiplication tables as they help in quick calculations.

1800/(9/4) = 200*4 = 800
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Re: fastest way to calculate 1800/2.25  [#permalink]

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New post 20 May 2014, 11:49
Another approach in case one does not want to turn 2.25 to 9/4. See the attached image.

Also, I wrote a blog post on how to deal with arithmetic manipulations on the GMAT:
http://www.gmatquantum.com/blog/how-to- ... tions.html

Cheers,
Dabral
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Re: fastest way to calculate 1800/2.25  [#permalink]

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New post 20 May 2014, 17:09
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I would second the suggestion of converting the decimal into fractions. But there's a quicker way of doing this conversion.

2.25 = 2+ 0.25

For the time-being, just consider the 0.25 bit. 0.25 =1/4.

So, 2.25 = 2+ 1/4 = (8+1)/4 = 9/4

This is quicker than having to solve 225/100.

I have given a few practice decimal-to-fraction conversions below. With some more practice, the fraction equivalents of decimals will hopefully start flashing in your mind automatically. :)

Practice Decimal-to-Fraction Conversions


i) 3.75
ii) 4.67
iii) 9.125
iv) 7.33
v) 8.17



SOLUTIONS



i) 0.75 = 3/4
So, 3.75 = 3+3/4 = 15/4

You don't need to go the 375/100 route. That will take longer.

ii) 0.67 = 2/3
So, 4.67 = 4+ 2/3 = 14/3

iii) 0.125 = 1/8 (no need to learn this by rote. Just think: 0.125 is half of 0.250, and so, half of 1/4)
So, 9.125 = 9+1/8 = 73/8

iv) 0.33 = 1/3
So, 7.33 = 7+ 1/3 = 22/3

v) 0.17 is close to 0.167, which is the half of 0.33. So, 0.167= 1/6.
8.17 = 8+1/6 = 49/6


I hope this helps.
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Re: fastest way to calculate 1800/2.25  [#permalink]

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New post 22 May 2014, 03:39
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It would be best if you can memorize these commonly used decimals for quicker calculations:


  • \(\frac{1}{2} = 0.5\)
  • \(\frac{1}{3}= 0.333\)
  • \(\frac{1}{4} = 0.25\)
  • \(\frac{1}{5} = 0.2\)
  • \(\frac{1}{6}= 0.1667\)
  • \(\frac{1}{7} = 0.1429\)
  • \(\frac{1}{8} = 0.125\)
  • \(\frac{1}{9} = 0.111\)
  • \(\frac{1}{10} = 0.1\)

Practice Problems:


  • \(4.67 = 4+2*\frac{1}{3}= \frac{14}{3}\)
  • \(2.25 = 2+\frac{1}{4} = \frac{9}{4}\)
  • \(6.125 = 6 +\frac{1}{8} = \frac{49}{8}\)
  • \(3.22 = 3 + 2*\frac{1}{9}= \frac{29}{9}\)

Regards,
Rajat
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Re: fastest way to calculate 1800/2.25  [#permalink]

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Re: fastest way to calculate 1800/2.25 &nbs [#permalink] 04 Mar 2018, 08:44
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