Question

1) (4-1 2/7)-(6/7+1 1/7 2) (12 1/8-4 5/8+0)-6 7/8 3) (1 3/17+5 16/17)+(1 1/17+2 14/14)-5 12/17

Answer 1

Пошаговое объяснение:

Answer 2

To solve these expressions, we need to perform the operations step by step. Let's tackle each one:

1. (4-1 2/7) - (6/7+1 1/7)

Step 1: Simplify the expressions inside the parentheses. 4 - 1 2/7 = 4 - (1 + 2/7) = 4 - (7/7 + 2/7) = 4 - 9/7 = (28/7 - 9/7) = 19/7

Step 2: Simplify the second expression inside the parentheses. 6/7 + 1 1/7 = (6/7 + 7/7 + 1/7) = (13/7)

Now we have: (19/7) - (13/7)

Step 3: Combine the two fractions. (19/7) - (13/7) = (19 - 13)/7 = 6/7

So, the result is 6/7.

2. (12 1/8 - 4 5/8 + 0) - 6 7/8

Step 1: Simplify the expressions inside the parentheses. 12 1/8 - 4 5/8 + 0 = (12 - 4) + (1/8 - 5/8) + 0 = 8 + (-4/8) + 0 = 8 - 1/2 = 15/2

Now we have: 15/2 - 6 7/8

Step 2: Convert 6 into a fraction with the same denominator as 2 (the denominator of 15/2). 6 = 6 * (2/2) = 12/2

Now we have: 15/2 - 12/2 - 7/8

Step 3: Combine the fractions. (15/2 - 12/2) - 7/8 = (3/2) - 7/8

Step 4: Find a common denominator for 2 and 8, which is 8. (3/2) - (7/8) = (12/8) - (7/8) = 5/8

So, the result is 5/8.

3. (1 3/17 + 5 16/17) + (1 1/17 + 2 14/14) - 5 12/17

Step 1: Simplify the expressions inside the parentheses. 1 3/17 + 5 16/17 = (1 + 5) + (3/17 + 16/17) = 6 + (19/17)

Step 2: Convert 6 into a fraction with the same denominator as 17 (the denominator of 19/17). 6 = 6 * (17/17) = 102/17

Now we have: 102/17 + (1 1/17 + 2 14/14) - 5 12/17

Step 3: Simplify the second expression inside the parentheses. 1 1/17 + 2 14/14 = (1 + 2) + (1/17 + 14/17) = 3 + (15/17)

Step 4: Convert 3 into a fraction with the same denominator as 17 (the denominator of 15/17). 3 = 3 * (17/17) = 51/17

Now we have: 102/17 + 51/17 - 5 12/17

Step 5: Convert 5 into a fraction with the same denominator as 17 (the denominator of the other fractions). 5 = 5 * (17/17) = 85/17

Now we have: 102/17 + 51/17 - 85/17

Step 6: Combine the fractions. (102/17 + 51/17) - 85/17 = (153/17) - 85/17 = 68/17

So, the result is 68/17.

To summarize:

1. (4-1 2/7)-(6/7+1 1/7) = 6/7
2. (12 1/8-4 5/8+0)-6 7/8 = 5/8
3. (1 3/17+5 16/17)+(1 1/17+2 14/14)-5 12/17 = 68/17