1. what is the sum of 5/6 + 2/3?
a.1 1/3
b.1 1/2
c.1 2/3*
d.1 3/4
2. sylvia has 6 1/2 boxes of chocolate to share at a family picnic. if she gives each person 1/3 of a box, how many people can receive chocolate?
a.13*
b.17
c.19
d.21
my answer=*
please explain how you got your answer. thank you :)
1.
2/3 = 4/6
5/6 + 4/6 = 9/6 = 1 3/6 = 1 1/2
2.
6 1/2 = 6 6/12 = 78/12
1/3 = 4/12
(78/12) / (4/12)
(78/12) * (12/4) = ?
19 :)
true lol
1. To find the sum of fractions, we need to have a common denominator. In this case, the denominators are already the same, so we can simply add the numerators:
5/6 + 2/3
To add the numerators, we get:
(5 + 2)/6 = 7/6
However, 7/6 is an improper fraction, which means the numerator is greater than the denominator. We can convert it to a mixed number (a whole number and a fraction) by dividing the numerator by the denominator:
7 ÷ 6 = 1 remainder 1
So the mixed number is 1 1/6. However, none of the answer choices match this, so let's find the closest one. We can convert 1 1/6 back into an improper fraction by multiplying the whole number by the denominator and adding the numerator:
1 × 6 + 1 = 6 + 1 = 7
So the answer is 7/6, which is equivalent to 1 1/6. Since none of the answer choices match this exactly, we choose the closest one, which is 1 2/3 (answer choice c).
Therefore, the answer is c. 1 2/3.
2. To find how many people can receive chocolate, we need to divide the total amount of chocolate by the amount each person will receive.
Sylvia has 6 1/2 boxes of chocolate, which can be written as the improper fraction:
6 1/2 = 13/2
Each person will receive 1/3 of a box.
To find the number of people, we divide the total amount of chocolate by the amount each person will receive:
(13/2) ÷ (1/3) = (13/2) × (3/1) = 39/2 = 19 1/2
Since we can't have half a person, the closest answer choice is 19 (answer choice c).
Therefore, the answer is c. 19