Mrs. peters bought 7 yards of fabric she needs another 4 7/8 yards. How many yards of fabric does she need altogether?
A. 11 1/2 yards
B. 4 7/8 yards
C. 12 3/8 yards
D. 7 1/2
A. just add them
Wait hold on no
She will need a total of 12 3/8 of fabric. because if you add both 4 7/8 and 7 1/2 together you would get 12 3/8, since the question is asking for the total.
To find out how many yards of fabric Mrs. Peters needs altogether, we need to add the initial 7 yards of fabric she bought with the additional 4 7/8 yards she needs.
To add these values, we need to make sure they have the same unit, i.e., both in yards.
First, let's convert 4 7/8 yards to an improper fraction:
4 7/8 = (4 * 8 + 7) / 8 = 39/8
Now that we have both values in terms of yards, we can add them together:
7 + 39/8
To add these fractions, we need to have a common denominator. In this case, the least common multiple (LCM) of 8 and 1 is 8.
Rewriting 7 as an improper fraction:
7 = 7/1
Now, we can add the fractions:
7/1 + 39/8
To add fractions, we need to have the same denominator. In this case, we can multiply the numerator and denominator of the first fraction (7/1) by 8 to get the denominator to be 8:
(7 * 8) / (1 * 8) + 39/8 = 56/8 + 39/8
Now that both fractions have the same denominator, we can add the numerators:
56/8 + 39/8 = (56 + 39) / 8 = 95/8
So, Mrs. Peters needs a total of 95/8 yards of fabric.
To simplify this fraction, we can divide the numerator (95) by the denominator (8):
95 ÷ 8 = 11 with a remainder of 7
Therefore, the simplified fraction is 11 7/8 yards.
Thus, Mrs. Peters needs a total of 11 7/8 yards of fabric, which is closest to option A. 11 1/2 yards.