8 2/3 Divided by 1 7/9 as a Fraction
To divide mixed numbers, we first need to convert them into improper fractions. Here's how to solve 8 2/3 divided by 1 7/9 as a fraction:
1. Convert mixed numbers to improper fractions:
- 8 2/3: (8 x 3) + 2 = 26, keep the denominator 3. So, 8 2/3 becomes 26/3.
- 1 7/9: (1 x 9) + 7 = 16, keep the denominator 9. So, 1 7/9 becomes 16/9.
2. Dividing fractions:
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 16/9 is 9/16.
Therefore, the problem becomes: 26/3 * 9/16
3. Multiply the numerators and the denominators:
- 26 x 9 = 234
- 3 x 16 = 48
This gives us the fraction 234/48.
4. Simplify the fraction:
Both 234 and 48 are divisible by 6.
- 234 / 6 = 39
- 48 / 6 = 8
Therefore, the simplified fraction is 39/8.
5. Convert back to a mixed number (optional):
Since the numerator is larger than the denominator, we can convert it back to a mixed number.
- 39 divided by 8 is 4 with a remainder of 7.
- This means 39/8 is equal to 4 7/8.
Therefore, 8 2/3 divided by 1 7/9 is equal to 39/8 or 4 7/8.
