Simplifying the Expression: 2 1/3 + 4/5 as a Fraction
When dealing with mixed numbers and fractions, it's essential to understand how to add them correctly. In this article, we will simplify the expression 2 1/3 + 4/5 as a fraction.
Converting Mixed Numbers to Improper Fractions
To add these two numbers, we need to convert the mixed number 2 1/3 to an improper fraction.
2 1/3 = ?
To convert 2 1/3 to an improper fraction, we multiply the whole number part (2) by the denominator (3) and then add the numerator (1).
2 × 3 = 6 6 + 1 = 7
So, 2 1/3 is equal to 7/3.
Now, Let's Add the Fractions
Now that we have converted the mixed number to an improper fraction, we can add it to 4/5.
7/3 + 4/5 = ?
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which is 15. Then, we convert both fractions to have a denominator of 15.
7/3 = 35/15 4/5 = 12/15
Now, we can add the fractions:
35/15 + 12/15 = 47/15
The Simplified Expression
Therefore, the simplified expression 2 1/3 + 4/5 as a fraction is equal to 47/15.
