Adding Mixed Numbers: 1 3/4 + 1 1/2 as a Fraction
When working with mixed numbers, adding them can be a bit tricky. However, with a few simple steps, you can easily add mixed numbers and express the result as a fraction.
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 the denominator.
Let's convert our mixed numbers to improper fractions:
- 1 3/4 = (1 × 4) + 3 / 4 = 7/4
- 1 1/2 = (1 × 2) + 1 / 2 = 3/2
Step 2: Add the Improper Fractions
Now, we can add the improper fractions:
7/4 + 3/2 = ?
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which are 4 and 2. The LCM of 4 and 2 is 4. So, we can rewrite the fractions with a denominator of 4:
7/4 + 6/4 = 13/4
Step 3: Simplify the Result
Our result is an improper fraction, 13/4. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case. Therefore, the simplified result is:
13/4
And that's the answer! 1 3/4 + 1 1/2 as a fraction is equal to 13/4.
