Question

(3 1/8 - 7 5/6) : (-4 17/24) * (-1.8)/0.3*(5 1/9 * 6/23 - 4) : (-1 1/3)

Answer 1

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Answer 2

Let's break down the problem step by step, using the order of operations (PEMDAS) to simplify the expression:

1. First, we need to simplify the expression inside the first set of parentheses:

(3 1/8 - 7 5/6) = (-4 15/24)

To get the result, we first convert both mixed numbers to improper fractions:

3 1/8 = 25/8 7 5/6 = 47/6

Then, we subtract the fractions by finding a common denominator:

25/8 - 47/6 = -47/24 + (-40/24) = -87/24 = -3 3/4

We convert this result back to a mixed number, which is equal to -4 15/24.

2. Next, we need to simplify the expression inside the second set of parentheses:

(5 1/9 * 6/23 - 4) = (31/207 - 4) = -737/207

Again, we convert the mixed number to an improper fraction, multiply by the other fraction, and subtract the result from 4.

3. Next, we need to simplify the expression in the numerator of the second fraction:

(-1.8)/0.3 = -6

We simply divide -1.8 by 0.3 to get -6.

4. Now we can simplify the entire expression:

(-4 15/24) / (-4 17/24) * (-6) / (-4/3)

To divide fractions, we invert the second fraction and multiply:

(-4 15/24) * (-24/71) * (-6) * (-3/4)

We can simplify the multiplication of the fractions:

-3 * 15 * 6 / 71 = -270/71

Finally, we convert this result to a mixed number:

-3 57/71

Therefore, the final answer is -3 57/71.