Question

2,25 * (9 11/18 - 7,5) - 8 1/3 : 3 1/3

Answer 1

2,25 * (9 11/18 - 7,5) - 8 1/3 : 3 1/3 = 2,25

1) 9 11/18 - 7,5 = 9 11/18 - 7 1/2 = 9 11/18 - 7 9/18 = 2 2/18 = 2 1/9
2) 2,25 * 2 1/9 = 2 1/4 * 2 1/9 = 9/4 * 19/9 = 19/4 = 4 3/4 = 4,75
3) 8 1/3 : 3 1/3 = 25/3 : 10/3 = 25/3 * 3/10 = 25/10 = 2,5
4) 4,75 - 2,5 = 2,25
Ответ: 2,25.

Answer 2

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

Step 1: Convert all the mixed numbers to improper fractions: 9 11/18 = (9 * 18 + 11) / 18 = 163/18 8 1/3 = (8 * 3 + 1) / 3 = 25/3 3 1/3 = (3 * 3 + 1) / 3 = 10/3

Step 2: Perform the division: 8 1/3 : 3 1/3 = 25/3 : 10/3 = (25/3) * (3/10) = 75/30 = 5/2 = 2.5

Step 3: Calculate the expression: 2.25 * (163/18 - 7.5) - 2.5

Step 4: Simplify the expression within the parentheses: 163/18 - 7.5 = 163/18 - (7.5 * 18/18) = 163/18 - 135/18 = (163 - 135) / 18 = 28/18 = 14/9

Step 5: Substitute the simplified expression back into the main expression: 2.25 * (14/9) - 2.5

Step 6: Perform the multiplication: 2.25 * (14/9) = (2.25 * 14) / 9 = 31.5/9 = 3.5

Step 7: Perform the subtraction: 3.5 - 2.5 = 1

Therefore, 2.25 * (9 11/18 - 7,5) - 8 1/3 : 3 1/3 = 1.