8 1/3 x 3/4 as a fraction
To multiply a mixed number by a fraction, we need to first convert the mixed number into an improper fraction. Here's how we do it:
1. Convert the mixed number into an improper fraction:
- Multiply the whole number by the denominator of the fraction: 8 x 3 = 24
- Add the numerator of the fraction: 24 + 1 = 25
- Keep the same denominator: 25/3
2. Multiply the improper fraction by the given fraction:
- (25/3) x (3/4)
3. Simplify the multiplication:
- 25 x 3 = 75
- 3 x 4 = 12
- (75/12)
4. Simplify the fraction (if possible):
- Both 75 and 12 are divisible by 3.
- 75 / 3 = 25
- 12 / 3 = 4
- The simplified fraction is 25/4
Therefore, 8 1/3 x 3/4 as a fraction is 25/4.
