Question

A fruit bowl contains 8 apples, 5 bananas and 10 oranges
What is the ratio of oranges to apples to bananas in the fruit bowl? Express the ratio as a fraction

Answer 1

To find the ratio of oranges to apples to bananas, we start by noting the quantities of each fruit in the bowl:

- Apples: 8
- Bananas: 5
- Oranges: 10

The ratio of oranges to apples to bananas is expressed as:

\[
\text{Oranges: Apples: Bananas} = 10 : 8 : 5
\]

To express this ratio as a fraction, we can write it as:

\[
\frac{\text{Oranges}}{\text{Apples}} : \frac{\text{Oranges}}{\text{Bananas}} : \frac{\text{Apples}}{\text{Bananas}} = \frac{10}{8} : \frac{10}{5} : \frac{8}{5}
\]

However, traditionally, we express the ratio simply in terms of their counts.

To simplify the ratio \( 10 : 8 : 5 \), we can find the greatest common divisor (GCD) of the three numbers, but in this case, there's no common factor greater than 1. Thus, we can just write it as is:

\[
10 : 8 : 5
\]

Alternatively, if you want to express it in a specific fraction form for each comparison:

1. The fraction of oranges to apples is \( \frac{10}{8} \) or \( \frac{5}{4} \).
2. The fraction of oranges to bananas is \( \frac{10}{5} \) or \( 2 \).
3. The fraction of apples to bananas is \( \frac{8}{5} \).

So, the reduced form remains as:

**Final ratio \( 10 : 8 : 5 \)**.