First solve like-terms: -1/4x + 1/2x Find the lowest common denominator which is 4. Multiply 1/2 by 2/2 to get 2/4 so that your denominators (number on the bottom of the fraction) have the same number.
Now add: -1/4x + 2/4x which is equal to 2/4x - 1/4x Since the numbers have the same denominator, subtract the numerators.
-1/4x + 2/4x= 1/4x
Now move on to the other terms: 2/3 - 1/6 Find lowest common denominator which is 6. Multiply 2/3 by 2/2 to get a denominator of 6. Once they have the same denominator, you can subtract.
4/6 - 1/6 = 3/6
3/6 = 1/2
3/6 reduces to 1/2; these are equivalent fractions.