Subtracting Mixed Numbers with Unlike Denominators
To subtract mixed numbers with unlike denominators, we need to follow certain steps. Let's take the example of subtracting 4 1/5 and 1 2/5.
Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert both mixed numbers to improper fractions.
4 1/5 = 21/5 (since 4 × 5 = 20 and 20 + 1 = 21)
1 2/5 = 7/5 (since 1 × 5 = 5 and 5 + 2 = 7)
Step 2: Find the Least Common Multiple (LCM) of the Denominators
Next, we need to find the least common multiple (LCM) of the denominators, which are 5 and 5. Since both denominators are the same, the LCM is also 5.
Step 3: Convert Improper Fractions to Equivalent Fractions with the LCM
Now, we need to convert both improper fractions to equivalent fractions with the LCM as the denominator.
21/5 = 21/5 (no change needed)
7/5 = 7/5 (no change needed)
Step 4: Subtract the Fractions
Finally, we can subtract the fractions.
21/5 - 7/5 = 14/5
Step 5: Convert the Result Back to a Mixed Number (optional)
If desired, we can convert the result back to a mixed number.
14/5 = 2 4/5
Therefore, 4 1/5 - 1 2/5 = 2 4/5.
