Question

8/9-(4 2/3-3 1/7:1 1/2)

Answer 1

Ответ:

8/9-(4 2/3-3 1/7:1 1/2)

1) 3 1/7: 1 1/2 = 22/7 : 3/2= 44/14 : 21/14= 44/21

2) 4 2/3-44/21 = 14/3-44/21=98/21-44/21=54/21=2 14/21

3)8/9-54/21=54/63-162/63=

3)8/9+54/21=54/63+162/63=216/63

Answer 2

To solve the expression 8/9 - (4 2/3 - 3 1/7 : 1 1/2), let's break it down step by step:

First, let's simplify the division: 3 1/7 : 1 1/2.

To divide mixed numbers, we convert them to improper fractions: 3 1/7 = (7 * 3 + 1) / 7 = 22/7 1 1/2 = (2 * 1 + 1) / 2 = 3/2

Now, let's divide: 22/7 : 3/2 = (22/7) * (2/3) = (22 * 2) / (7 * 3) = 44/21

Now we can substitute this result back into the original expression: 8/9 - (4 2/3 - 44/21)

Next, let's simplify the subtraction: 4 2/3 - 44/21.

To subtract mixed numbers, we convert them to improper fractions: 4 2/3 = (3 * 4 + 2) / 3 = 14/3

Now, let's subtract: 14/3 - 44/21 = (14 * 21 - 44 * 3) / (3 * 21) = (294 - 132) / 63 = 162/63

Now we can substitute this result back into the original expression: 8/9 - (162/63)

To subtract fractions, they need to have a common denominator. The least common multiple (LCM) of 9 and 63 is 63.

Now, let's find the common denominator and subtract: 8/9 - (162/63) = (8 * 7) / (9 * 7) - (162/63) = 56/63 - 162/63 = (56 - 162) / 63 = -106/63

The final result is -106/63, which can be simplified further if needed.