Over the weekend, Mrs. Kingston sold slices of cake at a bake sale fundraiser for her son's soccer team. Each cake was cut into eight slices. On the first day of the sale, she sold 2 14
chocolate cakes, and 2 38
caramel cakes. On the second day, she sold 34
of a chocolate cake and 3 12
caramel cakes.
Which statement tells the total number of cakes she sold and explains how the total can be calculated?
Responses
A First, find the least common multiple and change only the denominators: 2 18
+ 2 38
+ 38
+ 3 18
= 7 88
. Next, simplify: 7 88
= 8.First, find the least common multiple and change only the denominators: 2 1 8 + 2 3 8 + 3 8 + 3 1 8 = 7 8 8 . Next, simplify: 7 8 8 = 8.
B Change the fractions to make denominators common, and then add: 2 28
+ 2 38
+ 68
+ 3 48
= 7 158
. Next, simplify: 7 158
= 8 78
.Change the fractions to make denominators common, and then add: 2 2 8 + 2 3 8 + 6 8 + 3 4 8 = 7 15 8 . Next, simplify: 7 15 8 = 8 7 8 .
C Change the numerators to 3 to make them common, and then add: 2 312
+ 2 38
+ 34
+ 3 36
= 7 330
. Next, simplify: 7 330
= 7 110
.Change the numerators to 3 to make them common, and then add: 2 3 12 + 2 3 8 + 3 4 + 3 3 6 = 7 3 30 . Next, simplify: 7 3 30 = 7 1 10 .
D Add across the numerators and denominators first: 14
+ 38
+ 34
+ 12
= 818
. Next, add whole numbers 2 + 2 + 3 = 7, then combine: 7 818
Add across the numerators and denominators first: 1 4 + 3 8 + 3 4 + 1 2 = 8 18 . Next, add whole numbers 2 + 2 + 3 = 7, then combine: 7 8 18
D
B Change the fractions to make denominators common, and then add: 2 28
+ 2 38
+ 68
+ 3 48
= 7 158
. Next, simplify: 7 158
= 8 78
.Change the fractions to make denominators common, and then add: 2 2 8 + 2 3 8 + 6 8 + 3 4 8 = 7 15 8 . Next, simplify: 7 15 8 = 8 7 8 .