Final answer:
To find out how many months it will take for Rusty's hair to grow 5/8 inch, we divide 5/8 by 1/4 using the division of fractions. Rusty's hair will take (5/32) months to grow 5/8 inch.
Step-by-step explanation:
To find out how many months it will take for Rusty's hair to grow 5/8 inch, we can set up a division problem using the rate of hair growth. Rusty's hair grows at a rate of 1/4 inch per month. So, to find the number of months, we divide 5/8 inch by 1/4 inch per month.
Dividing fractions involves multiplying by the reciprocal of the second fraction. In this case, we can rewrite 1/4 as 4/1. So, we have (5/8) ÷ (4/1). Multiplying by the reciprocal, we get (5/8) x (1/4) = (5/8) x (1/4) = 5/32.
Therefore, it will take Rusty's hair (5/32) months to grow 5/8 inch.