Addition of Mixed Numbers: 1 1/4 + 2 5/6 as a Fraction
To add mixed numbers, we need to follow a specific procedure. In this case, we want to add 1 1/4 and 2 5/6. Let's break it down step by step.
Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert both mixed numbers to improper fractions.
1 1/4
To convert 1 1/4 to an improper fraction, we multiply the whole number part (1) by the denominator (4) and then add the numerator (1).
1 × 4 + 1 = 5
So, 1 1/4 is equal to 5/4.
2 5/6
Similarly, we convert 2 5/6 to an improper fraction.
2 × 6 + 5 = 17
So, 2 5/6 is equal to 17/6.
Step 2: Add the Improper Fractions
Now that we have both mixed numbers converted to improper fractions, we can add them.
5/4 + 17/6
To add these fractions, we need to find the least common multiple (LCM) of 4 and 6, which is 12. We can convert both fractions to have a denominator of 12:
5/4 = 15/12 17/6 = 34/12
Now, we can add the fractions:
15/12 + 34/12 = 49/12
Step 3: Simplify the Result
The result of the addition is 49/12, which is an improper fraction. We can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 1.
So, 1 1/4 + 2 5/6 = 49/12.
There you have it! The result of adding 1 1/4 and 2 5/6 is an improper fraction, 49/12.
