
-29/6+72/23*(-103/9-(-36/10)/9/35)


Ответы на вопрос

Ответ:
1655
Пошаговое объяснение:






To solve the expression, follow the order of operations, which is parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.
The expression is:
-29/6 + 72/23 * (-103/9 - (-36/10) / 9 / 35)
Step 1: Simplify the expression inside the parentheses first:
-103/9 - (-36/10) / 9 / 35
Step 2: Perform the division inside the parentheses:
-103/9 - (-36/10) * 35 / 9
Step 3: Continue the simplification inside the parentheses:
-103/9 - (-36/10) * 35 / 9 = -103/9 - (-3.6) * 35 / 9 = -103/9 + 3.6 * 35 / 9 = -103/9 + 126 / 9 = (-103 + 126) / 9 = 23/9
Now, substitute this value back into the original expression:
-29/6 + 72/23 * (23/9)
Step 4: Perform the multiplication:
72/23 * (23/9) = (72 * 23) / (23 * 9) = 1656 / 207
Step 5: Continue with the addition:
-29/6 + 1656/207
Step 6: Find the common denominator and perform the addition:
First, find the common denominator for 6 and 207, which is 6 * 207 = 1242.
Now convert both fractions to have a denominator of 1242:
-29/6 = -29 * (207/207) = -6003/1242 1656/207 = 1656 * (6/6) = 1656/1242
Finally, perform the addition:
-6003/1242 + 1656/1242 = (-6003 + 1656) / 1242 = -4347 / 1242
Step 7: Simplify the fraction (if possible):
The fraction -4347/1242 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, GCD(-4347, 1242) = 3.
-4347/1242 = (-4347 ÷ 3) / (1242 ÷ 3) = -1449/414
So, the final result of the expression is:
-1449/414.


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