Adding Mixed Numbers: 1 2/3 + 2 3/4
In this article, we will explore how to add two mixed numbers: 1 2/3 and 2 3/4. Mixed numbers are a combination of a whole number and a fraction. To add these two numbers, we need to follow a step-by-step process.
Step 1: Convert the mixed numbers to improper fractions
To add the two mixed numbers, we need to convert them into improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
1 2/3
1 2/3 = 5/3
2 3/4
2 3/4 = 11/4
Step 2: Find the least common multiple (LCM)
To add the two improper fractions, we need to find the least common multiple (LCM) of the denominators. The LCM of 3 and 4 is 12.
Step 3: Convert the fractions to have the LCM as the denominator
Now, we need to convert the two fractions to have the LCM (12) as the denominator.
5/3
5/3 = (5 x 4)/(3 x 4) = 20/12
11/4
11/4 = (11 x 3)/(4 x 3) = 33/12
Step 4: Add the fractions
Now, we can add the two fractions.
20/12 + 33/12 = 53/12
Step 5: Simplify the answer
The resulting fraction can be simplified.
53/12 = 4 5/12
The Final Answer
The result of adding 1 2/3 and 2 3/4 is 4 5/12.
