Mr. Rivera opened a package of 150 drinking cups for his restaurant. During the day, 97 cups were used. What fraction of the package of cups was used? Express the result using a simple, convenient fraction that is close in value to the exact answer.
A) 2/3
B) 3/5
C) 1/2
D) 3/4
Since 97 is close to 100, let's use this fraction:
100/150 = ?
2/3
Right!
Cool! Thank's for the help!!!
You're very welcome, Blake.
To find the fraction of the package of cups that was used, divide the number of cups used by the total number of cups in the package.
First, find the fraction by dividing the number of cups used (97 cups) by the total number of cups in the package (150 cups):
Fraction = 97 cups / 150 cups
To simplify this fraction, find the greatest common divisor (GCD) of 97 and 150. In this case, the GCD is 1, since 97 and 150 are both prime numbers.
Now, divide both the numerator and denominator of the fraction by the GCD:
Fraction = (97 cups / 1) / (150 cups / 1)
= (97/1) / (150/1)
= 97/150
Since we need to express the fraction using a simple, convenient fraction that is close in value to the exact answer, we can round or simplify the fraction. In this case, the fraction 97/150 cannot be simplified further.
To determine the closest simple fraction, you can use a fraction calculator or round to the nearest available options.
Let's check the options:
A) 2/3 = 100/150 --> 100 is bigger than 97, so it is not close enough.
B) 3/5 = 90/150 --> 90 is smaller than 97, so it is not close enough.
C) 1/2 = 75/150 --> 75 is smaller than 97, so it is not close enough.
D) 3/4 = 112.5/150 --> 112.5 is bigger than 97 but closer than the other options.
Therefore, the answer is:
D) 3/4