Final answer:
Dividing 8 4/5 cakes by 4 gives us 2 1/10 cakes per table. This is found by turning the mixed number into an improper fraction (44/5), then dividing it by 4 and simplifying the resulting fraction.
Step-by-step explanation:
To find out how many cakes will be on each table when 8 4/5 cakes are equally distributed across 4 tables, we first convert the mixed number into an improper fraction and then divide that by 4:
- Convert 8 4/5 to an improper fraction: 8 4/5 = (8 × 5 + 4) / 5 = (40 + 4) / 5 = 44/5.
- Divide the improper fraction by 4: (44/5) ÷ 4. To simplify this, remember that dividing by a number is the same as multiplying by its reciprocal, so (44/5) ÷ 4 becomes (44/5) × (1/4) = 44/20.
- Now reduce this fraction: 44/20 can be simplified to 2 2/20, and further reduced to 2 1/10 after dividing both the numerator and the denominator by 2.
As a result, when 8 4/5 cakes are evenly divided among 4 tables, each table gets 2 1/10 cakes.