Adding Fractions: 1 3/4 + 1/3
In this article, we will learn how to add two fractions, specifically 1 3/4 and 1/3. We will go through the step-by-step process of adding these fractions and simplify the result.
Converting Mixed Numbers to Improper Fractions
Before we can add the two fractions, we need to convert the mixed number 1 3/4 to an improper fraction. To do this, we multiply the whole number part (1) by the denominator (4) and then add the numerator (3):
1 × 4 + 3 = 7
So, the mixed number 1 3/4 is equivalent to the improper fraction 7/4.
Adding the Fractions
Now that we have converted the mixed number to an improper fraction, we can add the two fractions:
Fraction 1: 7/4 Fraction 2: 1/3
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which are 4 and 3. The LCM of 4 and 3 is 12. We can then convert both fractions to have a denominator of 12:
Fraction 1: 7/4 = 21/12 Fraction 2: 1/3 = 4/12
Now we can add the fractions:
21/12 + 4/12 = 25/12
Simplifying the Result
The result of adding the two fractions is 25/12. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 1. Therefore, the simplified result is:
25/12
And that's the result of adding 1 3/4 and 1/3 as fractions!
