5/9 - (-2/3) + (-5/6)
This question needs to first be simplified. There are several things that we can do to simplify this. First of all, we can remove the brackets.
5/9 + 2/3 - 5/6
Remember that when you have two negative operations side by side, they become positive, but one positive and one negative stay as a negative.
Now, we want to find a common denominator so that we can add/subtract these fractions. A common denominator between 9, 3 & 6 is 18.
5/9 + 2/3 - 5/6 -> 10/18 + 12/18 - 15/18
To get the proper fractions, we have to multiply the numerator by the number that we multiplied the denominator by. For example, we turned 5/9 into 10/18 by multiplying both sides of the equation by 2:
5*2 / 9*2 = 10/18
So, now we just follow the operations of addition and subtraction:
10/18 + 12/18 - 15/18 = 22/18 -15/18
22/18 - 15/18 = 7/18
Therefore, the answer is 7/18.
No comments:
Post a Comment