Вычислите 7 2/3*9/46-8 3/7*1 1/4*0

To calculate this expression, follow the order of operations, which is parentheses, multiplication and division (from left to right), and addition and subtraction (from left to right).

Let's start by simplifying the given expression:

1. Calculate 7 2/3 * 9/46: To multiply mixed numbers, convert them to improper fractions: 7 2/3 = (7 * 3 + 2) / 3 = 23/3

Then multiply the fractions: (23/3) * (9/46) = (23 * 9) / (3 * 46) = 207 / 138 = 69 / 46 = 1 23/46

2. Calculate 8 3/7 * 1 1/4: Again, convert the mixed numbers to improper fractions: 8 3/7 = (8 * 7 + 3) / 7 = 59/7 1 1/4 = (1 * 4 + 1) / 4 = 5/4

Multiply the fractions: (59/7) * (5/4) = (59 * 5) / (7 * 4) = 295 / 28 = 10 15/28

3. Calculate 1 23/46 - 10 15/28: Again, convert the mixed numbers to improper fractions: 1 23/46 = (1 * 46 + 23) / 46 = 69/46 10 15/28 = (10 * 28 + 15) / 28 = 295/28

Subtract the fractions: (69/46) - (295/28) = (69 * 28 - 295 * 46) / (46 * 28) = (-14,430) / 1,288 = -112.11 (rounded to two decimal places)

Therefore, the expression 7 2/3 * 9/46 - 8 3/7 * 1 1/4 * 0 equals approximately -112.11.