Question

(8/15+3/4)-(7/12+1/5)

Answer 1

= 8/15 + 3/4 - 7/12 - 1/5 = 8/15 - 3/15 + 9/12 - 7/12 = 5/15 + 2/12 = 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2

Answer 2

To simplify the expression (8/15 + 3/4) - (7/12 + 1/5), we'll perform the addition and subtraction operations step by step:

First, let's find a common denominator for each pair of fractions within the parentheses.

For (8/15 + 3/4): The common denominator for 15 and 4 is 60. So, we need to adjust both fractions to have a denominator of 60.

(8/15) * (4/4) = 32/60 (3/4) * (15/15) = 45/60

Now, we can add the adjusted fractions:

32/60 + 45/60 = (32 + 45)/60 = 77/60

For (7/12 + 1/5): The common denominator for 12 and 5 is 60. So, we need to adjust both fractions to have a denominator of 60.

(7/12) * (5/5) = 35/60 (1/5) * (12/12) = 12/60

Now, we can add the adjusted fractions:

35/60 + 12/60 = (35 + 12)/60 = 47/60

Now, we can subtract the second fraction from the first fraction:

(77/60) - (47/60) = (77 - 47)/60 = 30/60 = 1/2

Therefore, (8/15 + 3/4) - (7/12 + 1/5) simplifies to 1/2.