To find out how long it will take Brynn to mow the entire lawn, we first determine the rate at which she is mowing.
Given that it has taken Brynn \( \frac{1}{2} \) hour to mow \( \frac{2}{3} \) of the lawn, we can calculate the rate:
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Determine the rate of mowing:
- If it takes \( \frac{1}{2} \) hour to mow \( \frac{2}{3} \), then the rate of mowing is: \[ \text{Rate} = \frac{\text{Area Mowed}}{\text{Time Taken}} = \frac{\frac{2}{3}}{\frac{1}{2}} = \frac{2}{3} \times \frac{2}{1} = \frac{4}{3} \] This means Brynn mows \( \frac{4}{3} \) of the lawn in 1 hour.
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Calculate the time to mow the entire lawn:
- To mow 1 whole lawn, we can use the rate we just calculated. Since she mows \( \frac{4}{3} \) of the lawn in 1 hour, the time to mow 1 lawn is: \[ \text{Time} = \frac{1 \text{ lawn}}{\frac{4}{3} \text{ lawns/hour}} = \frac{3}{4} \text{ hours} \]
Therefore, the time it will take Brynn to mow the entire lawn is \( \frac{3}{4} \) of an hour.
The correct response is: 3/4 of an hour 3 fourths of an hour
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