Find the positive difference between one whole number and three quarters of1/14 and 1/2

1 answer

To find the positive difference between one whole number and three quarters of 1/14 and 1/2, we first need to calculate the value of three quarters of 1/14 and 1/2.

Three quarters of 1/14 is 3/4 * 1/14 = 3/56
Three quarters of 1/2 is 3/4 * 1/2 = 3/8

Next, we need to find the positive difference between one whole number (1) and the sum of these two values:

1 - (3/56 + 3/8)

To find a common denominator, we need to find the least common multiple of 56 and 8, which is 56. So, we rewrite the expression with a common denominator of 56:

56/56 - (3*4 + 56*3)/56
56/56 - (12 + 168)/56
56/56 - 180/56
(56 - 180)/56
-124/56

The positive difference between one whole number and three quarters of 1/14 and 1/2 is therefore 124/56 or 31/14.