Dividing Fractions: 1 1/3 ÷ 1 3/4
This problem involves dividing mixed numbers. Here's how to solve it step-by-step:
1. Convert Mixed Numbers to Improper Fractions
- 1 1/3: (3 * 1 + 1) / 3 = 4/3
- 1 3/4: (4 * 1 + 3) / 4 = 7/4
2. Invert the Second Fraction and Multiply
Dividing by a fraction is the same as multiplying by its inverse. The inverse of 7/4 is 4/7.
Our problem now becomes: (4/3) * (4/7)
3. Multiply the Numerators and Denominators
- (4 * 4) / (3 * 7) = 16/21
4. Simplify (if possible)
The fraction 16/21 is already in its simplest form.
Answer
Therefore, 1 1/3 ÷ 1 3/4 = 16/21