9 1/3 - 4 1/5 as a fraction
To subtract mixed numbers, we need to follow these steps:
1. Convert mixed numbers to improper fractions.
- 9 1/3: Multiply the whole number (9) by the denominator (3) and add the numerator (1). Keep the same denominator: (9 * 3) + 1 = 28. So, 9 1/3 is equal to 28/3.
- 4 1/5: Multiply the whole number (4) by the denominator (5) and add the numerator (1). Keep the same denominator: (4 * 5) + 1 = 21. So, 4 1/5 is equal to 21/5.
2. Find a common denominator.
- The least common multiple of 3 and 5 is 15.
- Convert 28/3 to an equivalent fraction with a denominator of 15: (28/3) * (5/5) = 140/15
- Convert 21/5 to an equivalent fraction with a denominator of 15: (21/5) * (3/3) = 63/15
3. Subtract the fractions.
- Now we have: 140/15 - 63/15
- Subtract the numerators and keep the same denominator: (140 - 63) / 15 = 77/15
4. Simplify the answer, if possible.
- The fraction 77/15 is an improper fraction (numerator is larger than the denominator). We can convert it to a mixed number: 77/15 = 5 2/15
Therefore, 9 1/3 - 4 1/5 = 5 2/15
