Question

1/6-(5/12-7/12) -2/5-(-3/5) 5/8-(-7/8) -1/9-(+2/9)

Answer 1

1/6 - (5/12 - 7/12) = 1/6 - 5/12 + 7/12 =1/6 + 1/6 = 1/3
5/8 - (-7/8) = 5/8 + 7/8 = 12/8 = 1,5
-1/9 - (+2/9) = -1/9 - 2/9 = -1/3

Answer 2

Let's simplify each expression one by one:

1/6 - (5/12 - 7/12): First, we simplify the expression inside the parentheses: 5/12 - 7/12 = -2/12 = -1/6. Now, we substitute this value back into the original expression: 1/6 - (-1/6) = 1/6 + 1/6 = 2/6 = 1/3.

-2/5 - (-3/5): The negative sign in front of the parentheses changes the sign of each term inside the parentheses: -(-3/5) = 3/5. Now, we substitute this value back into the original expression: -2/5 - 3/5 = (-2 - 3)/5 = -5/5 = -1.

5/8 - (-7/8): The negative sign in front of the parentheses changes the sign of each term inside the parentheses: -(-7/8) = 7/8. Now, we substitute this value back into the original expression: 5/8 + 7/8 = (5 + 7)/8 = 12/8 = 3/2.

-1/9 - (+2/9): The positive sign in front of the second fraction does not change its value: +2/9 = 2/9. Now, we substitute this value back into the original expression: -1/9 - 2/9 = (-1 - 2)/9 = -3/9 = -1/3.

So, the simplified expressions are: 1/6 - (5/12 - 7/12) = 1/3, -2/5 - (-3/5) = -1, 5/8 - (-7/8) = 3/2, -1/9 - (+2/9) = -1/3.