9 1/3 Divided by 4/5 as a Fraction
This article will guide you through dividing the mixed number 9 1/3 by the fraction 4/5 and express the result as a fraction.
Understanding the Steps
Dividing by a fraction is equivalent to multiplying by its reciprocal. Here's the breakdown:
- Convert the mixed number to an improper fraction:
- Multiply the whole number (9) by the denominator of the fraction (3): 9 * 3 = 27
- Add the numerator (1): 27 + 1 = 28
- Keep the same denominator: 28/3
- Find the reciprocal of the divisor (4/5):
- Flip the fraction: 5/4
- Multiply the first fraction (28/3) by the reciprocal of the second fraction (5/4):
- (28/3) * (5/4) = (28 * 5) / (3 * 4)
- Simplify the resulting fraction:
- (140/12) = 35/3
Answer
Therefore, 9 1/3 divided by 4/5 as a fraction is 35/3.
