Question

(6 7/12 -3 17/36)* 2,5 -4 1/3 : 0,65

Answer 1

(6 7/12 - 3 17/36) * 2,5 - 4 1/3 : 0,65 = 1 1/9

1) 6 7/12 - 3 17/36 = 6 21/36 - 3 17/36 = 3 4/36 = 3 1/9
2) 3 1/9 * 2,5 = 28/9 * 25/10 = 350/45 = 7 35/45 = 7 7/9
3) 4 1/3 : 0,65 = 13/3 : 65/100 = 13/3 * 100/65 = 100/15 = 6 10/15 = 6 2/3
4) 7 7/9 - 6 2/3 = 7 7/9 - 6 6/9 = 1 1/9

Answer 2

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

Step 1: Convert the mixed numbers to improper fractions.

6 7/12 = (6 * 12 + 7) / 12 = 79 / 12 3 17/36 = (3 * 36 + 17) / 36 = 125 / 36 4 1/3 = (4 * 3 + 1) / 3 = 13 / 3

Step 2: Perform the multiplication and division operations.

(79 / 12 - 125 / 36) * 2.5 - 4 1/3 / 0.65

First, let's subtract the fractions inside the parentheses: 79 / 12 - 125 / 36 = (79 * 3 / 12) - (125 / 36) = 237 / 36 - 125 / 36 = 112 / 36

Now, let's multiply the result by 2.5: 112 / 36 * 2.5 = (112 * 2.5) / 36 = 280 / 36

Next, let's divide 4 1/3 by 0.65: 13 / 3 / 0.65 = (13 / 3) * (1 / 0.65) = (13 * 1) / (3 * 0.65) = 13 / 1.95

Step 3: Perform the final subtraction and division.

280 / 36 - 13 / 1.95 = (280 * 1.95) / 36 - 13 / 1.95 = 546 / 36 - 13 / 1.95

To simplify this further, let's find the least common multiple (LCM) of 36 and 1.95, which is 234.

546 / 36 = (546 * 6.5) / (36 * 6.5) = 3549 / 234 13 / 1.95 = (13 * 12) / (1.95 * 12) = 156 / 234

Finally, subtract: 3549 / 234 - 156 / 234 = (3549 - 156) / 234 = 3393 / 234

The simplified result of the expression (6 7/12 - 3 17/36) * 2.5 - 4 1/3 : 0.65 is 3393 / 234.