Find the unit rate.
Brynn is mowing the lawn. If it has taken 1/2
hour to mow 2/3
of the lawn, how long will it take to mow the entire lawn?
(1 point)
Responses
1/3
of an hour
1 third of an hour
1 1/3
hours
1 and 1 third hours
3/4
of an hour
3 fourths of an hour
1/6
of an hour
The unit rate can be found by dividing the amount mowed (2/3 of the lawn) by the time taken (1/2 hour).
2/3 divided by 1/2 can be simplified by multiplying the numerator and denominator by 2:
(2/3) * (2/1) = 4/3
So, Brynn is mowing at a rate of 4/3 of the lawn per hour.
To find out how long it will take to mow the entire lawn, we need to divide 1 (the entire lawn) by the unit rate (4/3):
1 / (4/3) = 1 * (3/4) = 3/4
So, it will take 3/4 of an hour to mow the entire lawn. Therefore, the correct response is:
3/4 of an hour