Mrs. Friedmon baked a walnut cake for her class. The models below show how much cake she brought to school and how much she had left at the end of the day.
Before School
1 whole shaded
7/8 shaded
After School
1/4 shaded
Which fraction represents the difference between the amounts of cake Mrs. Friedmon had before school and after school?
A. 5/8
B. 1 1/2
C. 1 5/8
D. 2 1/2
Before school, Mrs. Friedmon had 1 and 7/8 of walnut cake. After school, she had 1/4 of the cake left. So, to find out the difference between the two you would subtract.
1 7/8-1/4
Change the denominator of 1/4 to 8.
1 7/8-2/8= 1 5/8.
ANSWER: 1 5/8
I hope this helped.
To find the difference between the amounts of cake Mrs. Friedmon had before school and after school, we need to subtract the fraction that represents the amount of cake she had after school from the fraction that represents the amount of cake she had before school.
The fraction that represents the amount of cake she had before school is 1 whole shaded plus 7/8 shaded, which can be written as 1 + 7/8.
The fraction that represents the amount of cake she had after school is 1/4 shaded.
To subtract these two fractions, we need to find a common denominator. The common denominator for 8 and 4 is 8, so we can rewrite the fractions with a common denominator.
1 + 7/8 = 8/8 + 7/8 = 15/8
So, the fraction that represents the difference between the amounts of cake Mrs. Friedmon had before school and after school is:
15/8 - 1/4
To subtract these fractions, we need to find a common denominator. The common denominator for 8 and 4 is 8, so we can rewrite the fractions with a common denominator.
15/8 - 1/4 = (15 * 1)/(8 * 1) - (1 * 2)/(4 * 2)
= 15/8 - 2/8
= 13/8
Therefore, the fraction that represents the difference between the amounts of cake Mrs. Friedmon had before school and after school is 13/8.
However, none of the answer choices given match this fraction. There seems to be a mistake in the information or answer choices provided.
To find the difference between the amounts of cake Mrs. Friedmon had before and after school, we need to subtract the fraction representing the cake after school from the fraction representing the cake before school.
The fraction representing the cake before school is 1 whole shaded plus 7/8 shaded, which can be written as 1 + 7/8.
To subtract fractions, we need to have a common denominator. In this case, the denominators are already the same, so we can subtract the numerators directly.
1 + 7/8 = 8/8 + 7/8 = 15/8
The fraction representing the cake after school is 1/4 shaded.
Now, we can subtract the fraction representing the cake after school from the fraction representing the cake before school:
15/8 - 1/4 = (15 * 2) / (8 * 2) - 2/8 = 30/16 - 2/8 = 30/16 - 4/16 = 26/16.
However, we can simplify this fraction by finding a common factor for the numerator and denominator. In this case, both 26 and 16 are divisible by 2:
26/16 = (13 * 2) / (8 * 2) = 13/8
Therefore, the difference between the amounts of cake Mrs. Friedmon had before school and after school is 13/8.
However, none of the answer choices match 13/8. It seems like there might be a mistake in the answer choices.
1 - 1/4 = 3/4
Not a choice, so I suspect a typo or a garbled question.