Question

(3/4-1 7/8):3/4+3 1/9 * 3/7​

Answer 1

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-1/6 ответ

Answer 2

To solve the expression (3/4 - 1 7/8) : (3/4 + 3 1/9 * 3/7), we can break it down step by step.

First, let's simplify the expression within the parentheses on the left side:

3/4 - 1 7/8 = 3/4 - (1 + 7/8) = 3/4 - (8/8 + 7/8) = 3/4 - 15/8 = (3 * 2)/(4 * 2) - 15/8 = 6/8 - 15/8 = (6 - 15)/8 = -9/8

Next, let's simplify the expression within the parentheses on the right side:

3 1/9 * 3/7 = (28/9) * (3/7) = (28 * 3) / (9 * 7) = 84/63 = (84/9) / (63/9) = 9 1/3 / 7

Now, let's substitute the simplified values back into the main expression:

(-9/8) : (3/4 + 9 1/3 / 7)

To simplify further, let's convert the mixed number into an improper fraction:

9 1/3 = (9 * 3 + 1) / 3 = 28/3

Now, the expression becomes:

(-9/8) : (3/4 + 28/3 / 7)

Next, let's simplify the expression within the parentheses:

(3/4 + 28/3 / 7) = (3/4) + (28/3 * 1/7) = 3/4 + 28/21 = (3 * 21)/(4 * 21) + 28/21 = 63/84 + 28/21 = (63 + 112)/84 = 175/84

Finally, substitute the simplified values back into the main expression:

(-9/8) : (175/84)

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:

(-9/8) * (84/175) = (-9 * 84) / (8 * 175) = -756/1400

The final simplified answer is -756/1400, which can be further reduced if needed.