Question

4/75:(4/5*1 1/4):(23/25-13/15)*1 1/15-1/15

Answer 1

4/75:(4/5*5/4):4/75*1 1/15-1/15
4/75:1:4/75*1 1/15-1/15
1*1 1/15-1/15
1 1/15-1/15
16/15 - 1/15 =1

Answer 2

To solve the expression, let's break it down step by step:

Step 1: Evaluate the expression within the parentheses first. 4/5 * 1 1/4 = 4/5 * 5/4 = (4 * 5) / (5 * 4) = 20 / 20 = 1

Step 2: Evaluate the next expression within the parentheses. (23/25 - 13/15) = (23/25) - (13/15) To subtract fractions, they need a common denominator, which is the least common multiple (LCM) of 25 and 15, which is 75. So, we'll convert the fractions to have a denominator of 75: (23/25) = (23/25) * (3/3) = (23 * 3) / (25 * 3) = 69 / 75 (13/15) = (13/15) * (5/5) = (13 * 5) / (15 * 5) = 65 / 75

Now, the expression becomes: (69/75) - (65/75) = (69 - 65) / 75 = 4 / 75

Step 3: Finally, calculate the result of the entire expression: 4 / 75 : 1 : 1 This is equivalent to: (4 / 75) / 1 * 1 = 4 / 75

Therefore, the result of the entire expression is 4/75.