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Darcy harvests acres of corn every of an hour. Darcy harvests corn at a constant rate.How many acres does she harvest per hour?acres per hour
Full solution
Q. Darcy harvests acres of corn every of an hour. Darcy harvests corn at a constant rate.How many acres does she harvest per hour?acres per hour
- Understand the problem: Understand the problem.Darcy harvests acres of corn every of an hour. We need to find out how many acres she harvests in one full hour.
- Convert to improper fraction: Convert the mixed number to an improper fraction. is the same as . To convert it to an improper fraction, multiply the whole number by the denominator and add the numerator .So, acres is the same as acres.
- Calculate rate per hour: Calculate the rate per hour.To find the rate per hour, divide the number of acres harvested by the fraction of the hour during which the harvesting occurs .The rate is .
- Divide fractions: Perform the division of fractions.To divide by a fraction, multiply by its reciprocal. The reciprocal of is .Now multiply by .
- Calculate multiplication: Calculate the multiplication.So,
- Simplify the fraction: Simplify the fraction. can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is .So, simplifies to .
- Convert to mixed number: Convert the improper fraction to a mixed number (if necessary). is an improper fraction. To convert it to a mixed number, divide by . with a remainder of .So, acres is the same as acres.However, since we are looking for the rate per hour, we can leave it as an improper fraction.
