Addition of Fractions: 1 1/2 + 3/4
In this article, we will explore the process of adding two fractions together, specifically 1 1/2 and 3/4. We will go through the step-by-step procedure to find the result of this operation.
Step 1: Convert Mixed Numbers to Improper Fractions
To add these fractions, we need to convert the mixed number 1 1/2 to an improper fraction. To do this, we multiply the whole number part (1) by the denominator (2) and then add the numerator (1).
1 1/2 = (1 × 2) + 1 / 2 = 3/2
Now, we have two improper fractions: 3/2 and 3/4.
Step 2: Find the Least Common Multiple (LCM)
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which are 2 and 4. The LCM of 2 and 4 is 4.
Step 3: Convert Both Fractions to Have the LCM as the Denominator
Now, we convert both fractions to have a denominator of 4:
3/2 = (3 × 2) / (2 × 2) = 6/4 3/4 = 3/4 (no change needed)
Step 4: Add the Fractions
Now, we can add the fractions:
6/4 + 3/4 = (6 + 3) / 4 = 9/4
Step 5: Simplify the Result (Optional)
We can simplify the result by dividing the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 9 and 4 is 1, so the result remains the same:
9/4
The Final Result
The result of adding 1 1/2 and 3/4 is 9/4 or 2 1/4 in mixed number form.
I hope this step-by-step procedure helps you understand how to add fractions!
