8 5/12 Divided by 1 3/4 in Simplest Form
This problem involves dividing mixed numbers. Here's how to solve it step-by-step:
1. Convert Mixed Numbers to Improper Fractions:
- 8 5/12: (8 * 12) + 5 = 101. Keep the same denominator, so 8 5/12 becomes 101/12.
- 1 3/4: (1 * 4) + 3 = 7. Keep the same denominator, so 1 3/4 becomes 7/4.
2. Dividing Fractions:
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 7/4 is 4/7.
Therefore, our problem becomes: 101/12 * 4/7
3. Simplify:
- Multiply numerators: 101 * 4 = 404
- Multiply denominators: 12 * 7 = 84
This gives us 404/84
4. Simplify to the Lowest Terms:
- Find the greatest common factor (GCD) of 404 and 84. The GCD is 4.
- Divide both numerator and denominator by 4: 404/4 = 101 and 84/4 = 21
Final Answer: 8 5/12 divided by 1 3/4 in simplest form is 101/21.
