Question

-5/9+(-1/12)3/28:5/7-3/7*5/13-4/7*5/13

Answer 1

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Answer 2

Let's simplify the expression step by step:

1. First, simplify the addition and subtraction of fractions from left to right: -5/9 + (-1/12) * 3/28 = -5/9 + (-1/12) * 3/28 = -5/9 + (-1/12) * 3/28 = -5/9 + (-1/336)

2. Now, convert the fractions with different denominators to a common denominator, which is 336: -5/9 + (-1/336) = -5 * 336/(9 * 336) + (-1/336) = -1680/3024 - 1/336

3. Next, find a common denominator for the fractions in the second part of the expression: 5/7 - 3/7 * 5/13 - 4/7 * 5/13 = 5/7 - (3 * 5)/(7 * 13) - (4 * 5)/(7 * 13) = 5/7 - 15/91 - 20/91

4. Convert the fractions in the second part to a common denominator, which is 91: 5/7 - 15/91 - 20/91 = 5 * 13/(7 * 13) - 15/(13 * 7) - 20/(13 * 7) = 65/91 - 15/91 - 20/91

5. Now, combine the fractions with the same denominator in both parts of the expression: -1680/3024 - 1/336 + 65/91 - 15/91 - 20/91 = (-1680 - 7 + 65 - 15 - 20)/3024 = (-1657)/3024

Therefore, the simplified result of the expression is: -1657/3024.