A horse's mane grows at the rate of 6 over 5 centimeters per month.

How many months will it take the horse's mane to grow 24 over 10 centimeters?

Explain your answer using words, and show your work using division of fractions.

6/5x = 24/10

x = (24/10) / (6/5)

x = 24/10 * 5/6

x = 120/60 reduces to 2 months

Explanation:

the horses mane grows 6/5 cm per month

lets let x = number of months

it is going to grow 24/10 in x months

so 6/5x (6/5 times the number of months) = 24/10

divide both sides by 6/5, eliminating the 6/5 on the left side.

so x = (24/10) / (6/5) ... and when dividing fractions, u flip what u r dividing by, and multiply. 24/10 * 5/6 = 120/60 which reduces to 2 months.