Subtracting Fractions: 1 1/3 - 3/5
This article will guide you through the process of subtracting the fractions 1 1/3 and 3/5.
Understanding Mixed Numbers
Before we begin, let's understand what a mixed number is. A mixed number is a combination of a whole number and a fraction, like 1 1/3.
Converting to Improper Fractions
To subtract fractions, we need to have them in the same format, which is an improper fraction. An improper fraction has a numerator larger than or equal to the denominator.
- 1 1/3: To convert this to an improper fraction, multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives us 4. Keep the same denominator (3). Therefore, 1 1/3 is equal to 4/3.
Finding a Common Denominator
Now, we have 4/3 and 3/5. We need to find a common denominator for these fractions. The least common multiple (LCM) of 3 and 5 is 15.
- 4/3: Multiply both numerator and denominator by 5: (4 * 5) / (3 * 5) = 20/15.
- 3/5: Multiply both numerator and denominator by 3: (3 * 3) / (5 * 3) = 9/15.
Subtracting the Fractions
Now that we have the same denominator, we can subtract the fractions:
20/15 - 9/15 = 11/15
Conclusion
Therefore, 1 1/3 - 3/5 is equal to 11/15.