Question

At Poppy’s pet store there are 6 rabbits, 8 turtles, and 4 parrots. Write the ratio of turtles to all animals in all three forms. Reduce the ratio if possible.

Answer 1

The ratio of turtles to all animals at Poppy's pet store, when simplified, is 4/9 in fractional form, 4:9 in colon form, and 'four to nine' in word form.

Step-by-step explanation:

To solve the mathematical problem completely, we first need to calculate the total number of animals at Poppy's pet store. There are 6 rabbits, 8 turtles, and 4 parrots, so the total number of animals is 6 + 8 + 4 = 18.

The ratio of turtles to all animals can now be written in three forms:

1. Fractional form: The ratio of turtles to all animals is 8/18. This can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 2. Therefore, the reduced fraction is 4/9.
2. Colon form: The ratio can also be expressed as 8:18, which, after reducing, becomes 4:9.
3. Word form: The ratio is eight to eighteen, which simplifies to four to nine.

It's important to note that the ratio should always be simplified if possible to give the simplest representation of the relationship between the two quantities.