Simplifying the Expression: 2/3 - 1/4 + (-5/6) as a Fraction
In this article, we will simplify the expression 2/3 - 1/4 + (-5/6) and find its value as a fraction.
Step 1: Simplify the Negative Term
The first step is to simplify the negative term -5/6. Since it's already a fraction, we can leave it as it is.
Step 2: Find a Common Denominator
The next step is to find a common denominator for the three terms. The least common multiple (LCM) of 3, 4, and 6 is 12. So, we will convert each term to have a denominator of 12.
Converting 2/3 to 2/3 * 4/4
2/3 = (2/3) * (4/4) = 8/12
Converting 1/4 to 1/4 * 3/3
1/4 = (1/4) * (3/3) = 3/12
Converting -5/6 to -5/6 * 2/2
-5/6 = (-5/6) * (2/2) = -10/12
Step 3: Simplify the Expression
Now that we have a common denominator, we can simplify the expression:
2/3 - 1/4 + (-5/6) = 8/12 - 3/12 - 10/12
Combine like terms:
= (8 - 3 - 10)/12 = -5/12
The Final Answer
The simplified expression 2/3 - 1/4 + (-5/6) as a fraction is:
-5/12
There you have it! We have successfully simplified the expression and found its value as a fraction.
