Question

5 : 5/6 + 1 2/7 * 5 5/6 - 4 3/4 = ...(По действиям)

Answer 1

1) 5:5/6=6
2) 12/7×5 5/6=50/7 или 7 1/7
3) 6+50/7=92/7 или 13 1/7
4) 13 1/7-4 3/4=8/7 или 1 1/7

Answer 2

To perform the operations step-by-step, follow these steps:

Step 1: Convert mixed numbers to improper fractions (if needed). Step 2: Perform multiplication and division operations from left to right. Step 3: Perform addition and subtraction operations from left to right.

Let's solve the expression step by step:

Step 1: Convert mixed numbers to improper fractions: 5/6 + 1 2/7 * 5 5/6 - 4 3/4

1 2/7 = (1 * 7 + 2) / 7 = 9/7 5 5/6 = (5 * 6 + 5) / 6 = 35/6 4 3/4 = (4 * 4 + 3) / 4 = 19/4

The expression becomes: 5/6 + 9/7 * 35/6 - 19/4

Step 2: Perform multiplication and division from left to right:

5/6 + 9/7 * 35/6 - 19/4 5/6 + (9/7 * 35/6) - 19/4 5/6 + (315/42) - 19/4 5/6 + 315/42 - 19/4

Step 3: Perform addition and subtraction from left to right:

5/6 + 315/42 - 19/4 5/6 + 45/2 - 19/4

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12:

5/6 = (5 * 2) / (6 * 2) = 10/12 45/2 = (45 * 6) / (2 * 6) = 270/12

Now the expression becomes:

10/12 + 270/12 - 19/4

To combine the fractions, they need to have the same denominator. As 19/4 already has a denominator of 4, we can rewrite the fractions with the common denominator:

10/12 + 270/12 - (19 * 3) / (4 * 3) = 10/12 + 270/12 - 57/12

Now, add the fractions:

(10 + 270 - 57) / 12 = 223/12

So the simplified result of the expression is:

5 : 5/6 + 1 2/7 * 5 5/6 - 4 3/4 = 223/12 or 18 11/12