Rusty's hair grows at the rate of 1/4 inch per month. How many months will it take Rusty's hair to grow 5/8 inch? Explain your answer using words and show your work using division of fractions.
To find the number of months it will take for Rusty's hair to grow 5/8 inch, we can set up the equation:
(1/4) inch/month * x months = 5/8 inch
Next, we can solve for x by dividing both sides of the equation by 1/4:
x = (5/8 inch) / (1/4 inch/month)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
x = (5/8 inch) * (4 inch/month/1)
Simplifying the expression, we get:
x = 20/8 inch/month
Dividing the numerator by the denominator, we find that:
x = 2.5 months
Therefore, it will take Rusty's hair 2.5 months to grow 5/8 inch.