8 1/3 x 4/5 as a fraction
To multiply a mixed number by a fraction, we need to convert the mixed number to an improper fraction first. Here's how to do it:
1. Convert the mixed number to an improper fraction:
- Multiply the whole number by the denominator: 8 x 3 = 24
- Add the numerator: 24 + 1 = 25
- Keep the same denominator: 25/3
Now we have the mixed number 8 1/3 as an improper fraction: 25/3.
2. Multiply the improper fraction by the other fraction:
- Multiply the numerators: 25 x 4 = 100
- Multiply the denominators: 3 x 5 = 15
We get the answer as an improper fraction: 100/15
3. Simplify the fraction (if possible):
Both 100 and 15 are divisible by 5.
- Divide both numerator and denominator by 5: 100/5 = 20 and 15/5 = 3
The simplified fraction is 20/3.
Therefore, 8 1/3 x 4/5 as a fraction is 20/3.
