Question

3/20*(7/12-1/2)+79/80 ________________________ 13/24:(7/12+1/2)-1/4

Answer 1

3/20*(7/12-1/2)+79/80=3/20*(7/12-6/12)+79/80=3/20*1/12+79/80=1/80+79/80=1 
13/24:(7/12+1/2)-1/4=13/24:(7/12+6/12)-1/4=13/24*12/13-1/4=1/2-1/4=2/4-1/4=1/4

Answer 2

To solve the given expression:

3/20 * (7/12 - 1/2) + 79/80 + 13/24 : (7/12 + 1/2) - 1/4

Let's break it down step by step:

Step 1: Simplify the expression within the parentheses 7/12 - 1/2 = (7/12) - (6/12) = 1/12

Step 2: Simplify the division expression 13/24 : (7/12 + 1/2) = 13/24 : (3/4) = 13/24 * (4/3) = 13/18

Step 3: Compute the multiplication and addition 3/20 * 1/12 = 3/240 = 1/80

Now, we can rewrite the given expression as:

1/80 + 79/80 + 13/18 - 1/4

Step 4: Find a common denominator for the fractions The common denominator for 80 and 18 is 360.

Step 5: Convert all fractions to have the same denominator 1/80 = 9/360 79/80 = 79/360 13/18 = 130/360 1/4 = 90/360

Now, the expression becomes:

9/360 + 79/360 + 130/360 - 90/360

Step 6: Combine the fractions 9/360 + 79/360 + 130/360 - 90/360 = (9 + 79 + 130 - 90)/360 = 128/360

Step 7: Simplify the fraction 128/360 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 8. 128/360 = (128/8) / (360/8) = 16/45

Therefore, the final answer is 16/45.