Find the sum of -52 and -26.
The sum of -52 and -26 is -78.
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
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
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
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all of the numbers are fractions
The correct response is 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
.
Rebecca has 0.76 miles left to go in her cross country race.
Which fraction is equivalent to the distance, in miles, left in her race?
Responses
To find the sum of -52 and -26, you can simply add the two numbers together. Adding a negative number to another negative number is the same as subtracting the two numbers and taking the negative of the result.
So, -52 + -26 becomes (-52) + (-26) = -78.
Therefore, the sum of -52 and -26 is -78.