Question 237592: -1/6+2/3
Answer by College Student(505)   (Show Source):
You can put this solution on YOUR website! In order to solve this, you must find the LCD. Now, there are a few different ways to explain this. Here is the way I do it.
Now, bear with me for a second.
- We know that any number multiplied by 1 equals the same number you started with, right? Ex. 3 x 1 = 3 So this would not change our equation.
- We also know that when you divide a number by itself, the result is 1, right? Ex. 3 / 3 = 1
.
Following this logic, we can multiply any equation by 1 and still not alter the final result. So, in order to find a common denominator, I'm going to multiply both fractions by a value equal to 1. Look carefully:
I used the denominator of the second fraction, 3, to multiply the first fraction's numerator and denominator.
For the second fraction, I used the denominator from the first fraction, 6.
This operation will give us a common denominator.
Now you can combine the fractions since they have common denominators.
Can you reduce the fraction to a simpler fraction? Yes.
Since it's the last step, I'll let you do it.
Hint: How many times 9 fits in 18?
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