9 1/6 - 5 1/3 as a Fraction
To subtract mixed numbers, we need to follow these steps:
1. Convert mixed numbers to improper fractions:
- 9 1/6: Multiply the whole number (9) by the denominator (6) and add the numerator (1). Keep the same denominator. This gives us (9 * 6) + 1 = 55/6.
- 5 1/3: Multiply the whole number (5) by the denominator (3) and add the numerator (1). Keep the same denominator. This gives us (5 * 3) + 1 = 16/3.
2. Find a common denominator:
- The least common denominator for 6 and 3 is 6.
- Convert 16/3 to an equivalent fraction with a denominator of 6: (16/3) * (2/2) = 32/6.
3. Subtract the fractions:
- Now we have 55/6 - 32/6.
- Subtract the numerators and keep the denominator: (55 - 32) / 6 = 23/6.
4. Simplify the fraction (if possible):
- The fraction 23/6 is already in its simplest form.
Therefore, 9 1/6 - 5 1/3 as a fraction is 23/6.
