Adding Fractions: 1 1/3 + 3/4
Adding fractions can seem tricky, but with a few simple steps, it's easy! Let's break down how to add 1 1/3 + 3/4 and express the answer as a fraction.
Step 1: Find a Common Denominator
The first step is to make sure both fractions have the same denominator. To do this, we need to find the least common multiple (LCM) of 3 and 4, which is 12.
- Convert 1/3: Multiply the numerator and denominator of 1/3 by 4: (1 x 4) / (3 x 4) = 4/12
- Convert 3/4: Multiply the numerator and denominator of 3/4 by 3: (3 x 3) / (4 x 3) = 9/12
Now we have: 1 4/12 + 9/12
Step 2: Add the Fractions
Since the denominators are now the same, we can simply add the numerators:
- 4/12 + 9/12 = 13/12
Step 3: Add the Whole Number
Remember, we have a whole number (1) from the original mixed number. Now, add the fractions:
- 1 + 13/12
Since 13/12 is an improper fraction (the numerator is larger than the denominator), we need to convert it to a mixed number.
Step 4: Convert to a Mixed Number
- 13/12 = 1 1/12
Now add the whole number from the improper fraction to the existing whole number:
- 1 + 1 1/12 = 2 1/12
Solution
Therefore, 1 1/3 + 3/4 = 2 1/12.