Question

7 целых 2/3 + 4 целых 1/6 *( 6 целых 2/7 - 3 целых 5/7)по действиям

Answer 1

7 2/3+4 1/6*(6 2/7-3 5/7)=

1) 6 2/7-3 5/7=2 4/7=18/7

2) 4 1/6=25/6

3) 25/6*18/7=75/7=10 5/7

4)7 2/3+10 5/7=7 14/21+10 15/21=17 29/21=18 8/21

Answer 2

1) 6целых2/7-3целых5/7 = 10целым

2) 4целых1/6*10= 41целых4/6

3) 7целых2/3+41целая4/6= 49целых

Answer 3

Calculation of the Expression

To solve the given expression 7 2/3 + 4 1/6 * (6 2/7 - 3 5/7), we can follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, let's simplify the expression within the parentheses:

6 2/7 - 3 5/7 To subtract these mixed numbers, we need to borrow from the whole number. 6 2/7 - 3 5/7 = 5 9/7 - 3 5/7 = 2 4/7

Now, we can multiply the result by the mixed number outside the parentheses:

4 1/6 * 2 4/7 To multiply these mixed numbers, we first convert them to improper fractions. 4 1/6 = 25/6 2 4/7 = 18/7 Now, we multiply the fractions: 25/6 * 18/7 = 25*18 / 6*7 = 450 / 42 = 75/7 = 10 5/7

Finally, we add the result to the first mixed number:

7 2/3 + 10 5/7 To add these mixed numbers, we first convert them to improper fractions. 7 2/3 = 23/3 10 5/7 = 75/7 Now, we add the fractions: 23/3 + 75/7 = 161/21 + 75/7 = (161*7 + 75*3) / 21*3 = 1127 + 225 / 63 = 1352 / 63 = 21 29/63

Answer

So, the result of the expression 7 2/3 + 4 1/6 * (6 2/7 - 3 5/7) is 21 29/63.