The sum 47/50 + 33/49 is between

ktrout2020 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

Source: Veritas

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

Cheers,
Brent

ktrout2020 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

Source: Veritas

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 most easily convert 33/49 to a decimal, we can approximate 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