Adding Mixed Numbers: 1 3/5 + 1 3/4 in Fraction Form
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 3/5 and 1 3/4 in fraction form.
Step 1: Convert Mixed Numbers to Improper Fractions
To add mixed numbers, we need to convert them to improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Converting 1 3/5
1 3/5 = 1 + 3/5 = (5/5) + (3/5) = 8/5
Converting 1 3/4
1 3/4 = 1 + 3/4 = (4/4) + (3/4) = 7/4
Step 2: Add the Improper Fractions
Now that we have the improper fractions, we can add them:
8/5 + 7/4
To add these fractions, we need a common denominator. The least common multiple (LCM) of 5 and 4 is 20. Let's convert both fractions to have a denominator of 20:
(8/5) × (4/4) = 32/20 (7/4) × (5/5) = 35/20
Now we can add:
32/20 + 35/20 = 67/20
The Result in Mixed Number Form
To convert the result back to a mixed number, we divide the numerator by the denominator:
67 ÷ 20 = 3 with a remainder of 7
So, 1 3/5 + 1 3/4 in fraction form is equal to:
3 7/20
There you have it! By following these steps, we successfully added 1 3/5 and 1 3/4 in fraction form.
