Adding Mixed Numbers: 1 3/5 + 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 guide you through the process of adding 1 3/5 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. An improper fraction is a fraction where the numerator is greater than the denominator.
1 3/5 = (5 + 3) / 5 = 8/5 2 1/5 = (10 + 1) / 5 = 11/5
Step 2: Add the Improper Fractions
Now that we have our improper fractions, we can add them:
8/5 + 11/5 = ?
To add these fractions, we need to find a common denominator, which is 5 in this case. Then, we add the numerators (8 + 11) and keep the denominator (5):
(8 + 11) / 5 = 19/5
The Result: 1 3/5 + 2 1/5 as a Fraction
So, 1 3/5 + 2 1/5 as a fraction is equal to:
19/5
This is an improper fraction, and we can convert it back to a mixed number if needed:
19/5 = 3 4/5
There you have it! Adding mixed numbers can be a bit tricky, but by converting them to improper fractions and following the correct steps, you can achieve the correct result.
