Question

5 3/4*(-1 8/23)-(9 6/7-5 5/6):6 1/28​

Answer 1

Смотри вложение.......

Answer 2

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

1. Convert mixed numbers to improper fractions.
2. Perform the operations inside the parentheses.
3. Subtract the result of the expression inside the parentheses from the first term.
4. Perform the operations in the second set of parentheses.
5. Subtract the result of the expression in the second set of parentheses from the result obtained in step 3.
6. Finally, divide the result by the last number.

Here's the step-by-step solution:

1. $5 \frac{3}{4} \cdot (-1 \frac{8}{23}) - \left(9 \frac{6}{7} - 5 \frac{5}{6}\right) \div 6 \frac{1}{28}$

   $= \frac{23 \cdot 5 + 3}{4} \cdot \frac{-23 - 8}{23} - \left(\frac{7 \cdot 9 + 6}{7} - \frac{6 \cdot 5 + 5}{6}\right) \div \frac{28 \cdot 6 + 1}{28}$

   $= \frac{118}{4} \cdot \frac{-31}{23} - \left(\frac{69}{7} - \frac{35}{6}\right) \div \frac{169}{28}$

   $= 29 \cdot \frac{-31}{23} - \left(\frac{483}{42} - \frac{70}{42}\right) \div \frac{169}{28}$

   $= -399 - \left(\frac{413}{42}\right) \div \frac{169}{28}$

2. Perform the division inside the second set of parentheses:

   $= -399 - \frac{413}{42} \cdot \frac{28}{169}$

   $= -399 - \frac{28 \cdot 413}{42 \cdot 169}$

   $= -399 - \frac{11564}{169}$

3. Subtract this result from the first term:

   $= -399 - \left(-\frac{11564}{169}\right)$

   $= -399 + \frac{11564}{169}$

4. Finally, divide by the last number:

   $= \frac{-399 \cdot 169 + 11564}{169}$

   $= \frac{-67431 + 11564}{169}$

   $= \frac{-55867}{169}$

So, $5 \frac{3}{4} \cdot (-1 \frac{8}{23}) - \left(9 \frac{6}{7} - 5 \frac{5}{6}\right) \div 6 \frac{1}{28} = \frac{-55867}{169}$.