Adding Mixed Numbers: 2 1/3 + 1 5/9 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 2 1/3 and 1 5/9 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To add mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than the denominator.
Convert 2 1/3 to an Improper Fraction
2 1/3 can be converted to an improper fraction by multiplying the whole number part (2) by the denominator (3) and then adding the numerator (1).
(2 × 3) + 1 = 7
So, 2 1/3 = 7/3
Convert 1 5/9 to an Improper Fraction
Similarly, we can convert 1 5/9 to an improper fraction.
(1 × 9) + 5 = 14
So, 1 5/9 = 14/9
Step 2: Add the Improper Fractions
Now that we have the improper fractions, we can add them:
7/3 + 14/9
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 9 is 9. So, we can rewrite the fractions with a denominator of 9:
7/3 = 21/9 (multiply numerator and denominator by 3) 14/9 = 14/9 (no change needed)
Now, we can add the fractions:
21/9 + 14/9 = 35/9
Result: 2 1/3 + 1 5/9 as a Fraction
Therefore, 2 1/3 + 1 5/9 as a fraction is equal to:
35/9
