Simplifying the Fraction: 3/4 + 1/12
In this article, we will explore how to simplify the fraction 3/4 + 1/12.
Understanding the Problem
The given fraction is 3/4 + 1/12. To simplify this fraction, we need to find a common denominator between the two fractions and then add them together.
Finding the Common Denominator
The least common multiple (LCM) of 4 and 12 is 12. Therefore, we can convert both fractions to have a denominator of 12.
3/4 = 9/12 (multiply numerator and denominator by 3)
1/12 = 1/12 (no change needed)
Adding the Fractions
Now that we have both fractions with a common denominator, we can add them together:
9/12 + 1/12 = 10/12
Simplifying the Fraction
The resulting fraction is 10/12. We can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2.
10/12 = 5/6
Therefore, the simplified fraction of 3/4 + 1/12 is 5/6.
