Question

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A rabbit's fur grows at the rate of 5 over 2 inches per month.

How many months will it take the rabbit's fur to grow 15 over 4 inches?

Explain your answer using expressions and words.

Answer 1

Growth rate = 5/2 inches per month

The fur length after y months:

Fur length = 5/2 × y

Therefore, to have a fur length of 15/4 inches :

15/4 = 5/2 × y

3.75 = 2.5y

Divide both sides by 2.5 to isolate y

3.75/2.5 = y

1.5 = y

it will take a month and half to have a fur of 15/4 inch length

Answer 2

Answer:

1.5 months

Step-by-step explanation:

First, make $\frac{5}{2}$ so it has a common demoninator as $\frac{15}{4}$.

We need the demoninator to be the same so we can multiply $\frac{5}{2}$ by 2 to make it $\frac{10}{4}$.

So, a rabbit's ear grows $\frac{10}{4}$ of an inch in a month.

To find how many months, it will take, we have to divide $\frac{15}{4}$ by $\frac{10}{4}$.

To divide fractions, we can multiply with the reciprocal.

So,  $\frac{15}{4}$ * $\frac{4}{10}$ is $\frac{60}{40}$ which reduces to $\frac{6}{4}$ which, in decimal form is equal to 1.5 months.