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# The sum 47/50 + 33/49 is between

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Joined: 02 Sep 2009
Posts: 52431
The sum 47/50 + 33/49 is between  [#permalink]

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24 Oct 2016, 22:25
1
10
00:00

Difficulty:

55% (hard)

Question Stats:

57% (01:24) correct 43% (01:26) wrong based on 380 sessions

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The sum 47/50 + 33/49 is between

A. 1.0 and 1.2
B. 1.2 and 1.4
C. 1.4 and 1.6
D. 1.6 and 1.8
E. 1.8 and 2.0

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Re: The sum 47/50 + 33/49 is between  [#permalink]

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24 Oct 2016, 23:02
1
1
Bunuel wrote:
The sum 47/50 + 33/49 is between

A. 1.0 and 1.2
B. 1.2 and 1.4
C. 1.4 and 1.6
D. 1.6 and 1.8
E. 1.8 and 2.0

47/50 + 33/49 = 47/50 + 33/50 (approx.) = 80/50 (approx) = 1.6

Since we have increased the denominator by a little amount (from 49 to 50) so the result would be a little less than actual result

Hence correct answer should be a very little greater than 1.6

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Re: The sum 47/50 + 33/49 is between  [#permalink]

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25 Oct 2016, 01:34
$$\frac{47}{50}$$ + $$\frac{33}{49}$$

= $$\frac{94}{100}$$ + $$\frac{66}{98}$$

= .94 + ~.66 ($$\frac{66}{100}$$ = 1.6

Since we increased the denominator for approximation the actual value of the fraction reduced, so the overall value would be greater than 1.6

So, option D.
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Re: The sum 47/50 + 33/49 is between  [#permalink]

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25 Oct 2016, 03:56
1
Bunuel wrote:
The sum 47/50 + 33/49 is between

A. 1.0 and 1.2
B. 1.2 and 1.4
C. 1.4 and 1.6
D. 1.6 and 1.8
E. 1.8 and 2.0

47/50 + 33/49

= 1 - 3/50 + 30/49 + 3/49

30/49 is a little more than 0.6
3/49 - 3/50 will be a small positive number

So we get
1 + 0.6 + a bit of positive

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The sum 47/50 + 33/49 is between  [#permalink]

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25 Oct 2016, 06:34
1
Bunuel wrote:
The sum 47/50 + 33/49 is between

A. 1.0 and 1.2
B. 1.2 and 1.4
C. 1.4 and 1.6
D. 1.6 and 1.8
E. 1.8 and 2.0

$$\frac{47}{50} = \frac{94}{100}$$

$$\frac{33}{49}$$ ~ $$\frac{66}{100}$$

$$\frac{94}{100}$$ $$+$$ $$\frac{66}{100}$$ = $$\frac{160}{100}$$

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Re: The sum 47/50 + 33/49 is between  [#permalink]

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25 Oct 2016, 15:54
1
1
Bunuel wrote:
The sum 47/50 + 33/49 is between

A. 1.0 and 1.2
B. 1.2 and 1.4
C. 1.4 and 1.6
D. 1.6 and 1.8
E. 1.8 and 2.0

Since our answers are in decimal form, it may be easiest to convert 47/50 and 33/49 to decimals as well. Let’s start with 47/50.

(47/50) x 2/2 = 94/100 = 0.94

To easiest convert 33/49 to a decimal, we can slightly estimate 33/49 to 33/50.

(33/50) x 2/2 =66/100 = 0.66

Thus, 0.94 + 0.66 = 1.6

Had 33/49 been 33/50, the sum of 47/50 and 33/49 would have been 1.6. However, since 33/49 is actually slightly greater than 33/50, the sum is actually slightly greater than 1.6. Therefore, the sum is between 1.6 and 1.8.

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Re: The sum 47/50 + 33/49 is between  [#permalink]

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30 Nov 2016, 09:55
Top Contributor
Bunuel wrote:
The sum 47/50 + 33/49 is between

A. 1.0 and 1.2
B. 1.2 and 1.4
C. 1.4 and 1.6
D. 1.6 and 1.8
E. 1.8 and 2.0

Let's rewrite each fraction as an equivalent fraction with 100 in each denominator.

47/50
Multiply numerator and denominator by 2 to get 94/100

33/49
49 x 2 = 98
So, to get 100 in the denominator, we must multiply 49 by a number a little bit bigger than 2
Multiply numerator and denominator by a number a little bit bigger than 2 to get (a number a little bigger than 66)/100
Let's rewrite "a number a little bigger than 66" as "66+"
So, we get: (66+)/100

94/100 + (66+)/100 = (160+)/100
= 1.6+ (a number a little bit bigger than 1.6

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Re: The sum 47/50 + 33/49 is between  [#permalink]

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18 Mar 2018, 18:13
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