Simplifying Fractions: 11/12 - 3/4
Fractions can be a bit tricky to work with, but with the right steps, you can simplify them with ease. In this article, we'll go through the process of simplifying the fraction 11/12 - 3/4.
Step 1: Find a Common Denominator
To subtract fractions, we need to find a common denominator between the two fractions. In this case, the least common multiple (LCM) of 12 and 4 is 12. So, we'll convert 3/4 to have a denominator of 12:
3/4 = 9/12
Now we have:
11/12 - 9/12
Step 2: Subtract the Fractions
Next, we'll subtract the fractions by subtracting the numerators (the numbers on top) and keeping the denominator the same:
11 - 9 = 2
So, we get:
2/12
Step 3: Simplify the Fraction (Optional)
We can simplify the fraction 2/12 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2:
2 ÷ 2 = 1 12 ÷ 2 = 6
So, the simplified fraction is:
1/6
Final Answer
The final answer is:
11/12 - 3/4 = 1/6
By following these steps, we've successfully simplified the fraction 11/12 - 3/4.
