Adding Mixed Numbers: 1 3/4 + 2 3/5
In this article, we will learn how to add two mixed numbers: 1 3/4 and 2 3/5.
Step 1: Convert the mixed numbers to improper fractions
To add the two mixed numbers, we first need to convert them to improper fractions.
1 3/4 = 7/4 (since 1 = 4/4, and 3/4 is already in fraction form)
2 3/5 = 13/5 (since 2 = 10/5, and 3/5 is already in fraction form)
Step 2: Find the least common multiple (LCM) of the denominators
The least common multiple (LCM) of 4 and 5 is 20. Therefore, we need to convert both fractions to have a denominator of 20.
7/4 = 35/20 (multiply numerator and denominator by 5)
13/5 = 52/20 (multiply numerator and denominator by 4)
Step 3: Add the fractions
Now that we have both fractions with a denominator of 20, we can add them:
35/20 + 52/20 = 87/20
Step 4: Simplify the answer
The resulting fraction is 87/20. We can simplify this by dividing both numerator and denominator by their greatest common divisor (GCD), which is 1.
87 ÷ 1 = 87 20 ÷ 1 = 20
So, the final answer is:
1 3/4 + 2 3/5 = 87/20
In mixed number form, this is equal to:
4 7/20
And that's the result of adding 1 3/4 and 2 3/5!
