Adding Mixed Numbers: 1 1/3 + 2 1/5 as a Fraction
When working with mixed numbers, it's essential to understand how to add them correctly. In this article, we'll explore how to add 1 1/3 and 2 1/5 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To add mixed numbers, we need to convert them into improper fractions. Let's do this for both numbers:
1 1/3
To convert 1 1/3 to an improper fraction, we'll multiply the whole number part (1) by the denominator (3) and then add the numerator (1):
1 × 3 + 1 = 4
So, 1 1/3 as an improper fraction is:
4/3
2 1/5
Now, let's convert 2 1/5 to an improper fraction. We'll multiply the whole number part (2) by the denominator (5) and then add the numerator (1):
2 × 5 + 1 = 11
So, 2 1/5 as an improper fraction is:
11/5
Step 2: Add the Improper Fractions
Now that we have both numbers as improper fractions, we can add them:
4/3 + 11/5
To add these fractions, we need a common denominator. The least common multiple (LCM) of 3 and 5 is 15. Let's convert both fractions to have a denominator of 15:
4/3 = 20/15 11/5 = 33/15
Now we can add:
20/15 + 33/15 = 53/15
Result: 1 1/3 + 2 1/5 as a Fraction
The result of adding 1 1/3 and 2 1/5 is:
53/15
So, 1 1/3 + 2 1/5 equals 53/15 as a fraction.
