9 2/3 Divided by 3 1/6 in Simplest Form
Here's how to solve the division problem 9 2/3 divided by 3 1/6 and express the answer in its simplest form:
1. Convert mixed numbers to improper fractions:
- 9 2/3 = (9 * 3 + 2) / 3 = 29/3
- 3 1/6 = (3 * 6 + 1) / 6 = 19/6
2. Change division to multiplication by inverting the second fraction:
- Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 19/6 is 6/19.
3. Multiply the fractions:
- (29/3) * (6/19) = (29 * 6) / (3 * 19) = 174 / 57
4. Simplify the fraction:
- Both 174 and 57 are divisible by 3: (174 / 3) / (57 / 3) = 58 / 19
Therefore, 9 2/3 divided by 3 1/6 in simplest form is 58/19.
