Jack is mowing lawns. He mows lawns at a constant rate of 1/3 acre every 3/4 hour. At this rate, which fraction represents the acres Jack can mow per hour?

Respuesta :

Answer:

1/4 acre every 1 hour

Step-by-step explanation:

divide 1/3 with 3/4 to find unit rate

Answer:

[tex]\frac{4}{9}acres/hr[/tex]

Step-by-step explanation:

Givens

  • The constant rate is 1/3 acre per every 3/4 hour.

To find the fraction that represents the constant per hour, we just need to divide both expression, like this

[tex]\frac{1}{3}acre \div \frac{3}{4}hr=\frac{1}{3}\times \frac{4}{3} =\frac{4}{9}acres/hr[/tex]

Therefore, the expression that represents the acres Jack can mow per hour is

[tex]\frac{4}{9}acres/hr[/tex]