1.What is the sum of 5/6 + 2/3? (1 point)
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 person1/3
correct on 1)
1. To find the sum of the fractions 5/6 and 2/3, we need to have a common denominator. The least common multiple of 6 and 3 is 6.
To convert 5/6 to have a denominator of 6, we multiply both the numerator and denominator by 1:
5/6 × 2/2 = 10/12
To convert 2/3 to have a denominator of 6, we multiply both the numerator and denominator by 2:
2/3 × 2/2 = 4/6
Now that both fractions have a denominator of 6, we can add them together:
10/12 + 4/6 = 14/12
To simplify this fraction, we find the greatest common divisor of 14 and 12, which is 2.
Dividing both the numerator and denominator by 2, we get:
14/12 ÷ 2/2 = 7/6
Answer: The sum of 5/6 + 2/3 is 7/6, which is equivalent to 1 1/6.
2. The question seems to be unfinished. If Sylvia gives each person 1/3... I'll wait for the rest of the question to provide a step-by-step answer.
To find the sum of 5/6 and 2/3, you need to have a common denominator. The common denominator for 6 and 3 is 6. To convert 5/6 to have the same denominator, you need to multiply both the numerator and denominator by 2. So, 5/6 becomes 10/12. The sum of 10/12 and 2/3 is (10/12) + (8/12) = 18/12.
Since 18/12 can be simplified, you divide the numerator and denominator by their greatest common divisor, which is 6. Simplifying 18/12 gives you 3/2, which means the sum of 5/6 and 2/3 is 3/2.
Therefore, the answer to question 1 is B. 1 1/2.