Simplifying a Fraction: 1 2/5 - 3/4
In this article, we will learn how to simplify a fraction by subtracting two mixed numbers: 1 2/5 - 3/4. To do this, we need to follow the rules of subtracting fractions with different denominators.
Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers to improper fractions:
- 1 2/5 = (5 x 1) + 2 / 5 = 7/5
- 3/4 = 3/4 (already an improper fraction)
Step 2: Find the Least Common Denominator (LCD)
Next, we need to find the least common denominator (LCD) of 5 and 4, which is 20.
Step 3: Convert Both Fractions to Have the LCD
Now, we'll convert both fractions to have a denominator of 20:
- 7/5 = (7 x 4) / (5 x 4) = 28/20
- 3/4 = (3 x 5) / (4 x 5) = 15/20
Step 4: Subtract the Fractions
Finally, we can subtract the fractions:
28/20 - 15/20 = 13/20
The Simplified Answer
Therefore, the simplified answer is:
1 2/5 - 3/4 = 13/20
By following these steps, we have successfully simplified the fraction 1 2/5 - 3/4. This process can be applied to any subtraction problem involving fractions with different denominators.
