The sum 47/50 + 33/49 is between

Question

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

JeffTargetTestPrep · Accepted Answer

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.

Answer: D

GMATinsight · Answer

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

Answer: option D

gauravk · Answer

\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.

KarishmaB · Answer

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

Answer (D)

Abhishek009 · Answer

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

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

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

Hence answer will be (D)

BrentGMATPrepNow · Answer

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

Now add the equivalent fractions
 94/100  +  (66+)/100  = (160+)/100
= 1.6+ (a number a little bit bigger than 1.6

Answer:  D

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Kinshook · Answer

Asked: The sum 47/50 + 33/49 is between

47/50 + 33/49 ~ 47/50 + 33.6/50 = 80.6/50 = 161.2/100 = 1.61

IMO D

lavanya.18 · Answer

I am so happy I finally got this type of question right...Yay!!

So, basically, you take the approx value of the second number ie. 33/49 as 33/50

So, the sum of 47/50+33/50= 80/50= 50/50+30/50= 1+3/5= 1.6

Looking into the options, we see D) 1.6 and 1.8 would be the best choice here.

(considering we took approx value earlier, the decimal value might be a little more than 1.6. Therefore, C can't be our answer)

D) is the correct answer.

Cheer!

The sum 47/50 + 33/49 is between

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