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