Option B
The choice has a value that is closest to the value of the following expression 17/12 - 49/40 is
<em><u>Solution:</u></em>
Given that we have to find the value that is closest to the value of following expression
Let us take L.C.M of denominators and solve the sum
<em><u>L.C.M of 12 and 40</u></em>
List all prime factors for each number
prime factorization of 12 = 2 x 2 x 3
prime factorization of 40 = 2 x 2 x 2 x 5
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 2, 3, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 x 5 = 120
Thus the given expression becomes:
Thus correct answer is option B