Stefanie is painting her bedroom. She can paint 12 1/3square feet in 4/5 of an hour. How many square feet can she paint in one hour
To find out how many square feet Stefanie can paint in one hour, we need to find the equivalent fractions for both the square footage and the time.
12 1/3 square feet can be written as a mixed fraction: 12 + 1/3 = 12 1/3 = (12*3 + 1)/3 = 37/3 square feet.
4/5 of an hour can be written as a fraction: 4/5.
To find out how many square feet she can paint in one hour, we divide the square footage by the time: (37/3)/(4/5) = (37/3)*(5/4) = (37*5)/(3*4) = 185/12.
Stefanie can paint 185/12 square feet in one hour.
simplify the answer.
To simplify the answer, we can divide both the numerator and the denominator of the fraction by their greatest common divisor, which is 1.
185/12 = (185 ÷ 1) / (12 ÷ 1) = 185/12
Therefore, the simplified answer is 185/12.
put it as a mixed number
To write 185/12 as a mixed number, we can divide 185 by 12:
185 ÷ 12 = 15 remainder 5
So, the mixed number is 15 5/12.
To find out how many square feet Stefanie can paint in one hour, we need to calculate her painting speed based on the given information.
First, we know that Stefanie can paint 12 1/3 square feet in 4/5 of an hour.
To make calculations easier, let's convert the mixed number 12 1/3 to an improper fraction.
12 1/3 = (12 * 3 + 1) / 3 = 37/3
Now we can calculate Stefanie's painting speed in square feet per hour.
Painting speed = (Total square feet) / (Total amount of time)
Painting speed = (37/3) / (4/5)
To divide fractions, we can multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.
Painting speed = (37/3) * (5/4)
= (37 * 5) / (3 * 4)
= 185/12
Therefore, Stefanie can paint 185/12 square feet in one hour.
Since the result is in fraction form, we can also express it as a mixed number.
185/12 ÷ 1 = 15 5/12
So, Stefanie can paint approximately 15 5/12 square feet in one hour.