Question

4. Rusty's hair grows at the rate of 2/4 inch per month. a. How many months will it take Rusty's hair to grow 7/8 inch? b. Explain your answer using words, and show your work using division of fractions.

Answer 1

x = 1 month 3 days

Explanation:

Given that,

Per month growth of Rusty's hair = 2/4

We need to find in how many months will it take Rusty's hair to grow 7/8 inch.

1 month = 2/4

In x months = 7/8 inches

Let it grow 7/8 inch in x months.

So, it will take 1 month 3 days to grow 7/8 inches.

Answer 2

x = 1 month 3 days

Explanation:

Given that,

Per month growth of Rusty's hair = 2/4

We need to find in how many months will it take Rusty's hair to grow 7/8 inch.

1 month = 2/4

In x months = 7/8 inches

Let it grow 7/8 inch in x months.

`((2)/(4))/((7)/(8))=\frac{1}x\\\\(1)/(x)=(2)/(4)* (8)/(7)\\\\x=(7)/(4)\ \text{months}\\\\x=1\ \text{month}\ 3\ \text{days}`

So, it will take 1 month 3 days to grow 7/8 inches.