Question 5 (2 points)
Solve this problem. Reduce to lowest terms.
Mitchell bought a pizza to share with his friends. He gave fraction numerator 1 over denominator 4 end fraction of it to Julie, fraction numerator 1 over denominator 6 end fraction of it to Margie, fraction numerator 1 over denominator 3 end fraction of it to Kevin, and ate the rest himself. How much of the pizza did Mitchell keep for himself?
Select the correct answer.
Question 5 options:
Mathml image of the pizza ,,,,,,,,,
Mathml image of the pizza ........
Mathml image of the pizza \\\\\
Mathml image of the pizza llll
The correct answer is:
Mathml image of the pizza \\\\\
To solve this problem, let's add up the fractions given to Julie, Margie, and Kevin.
Julie received 1/4 of the pizza.
Margie received 1/6 of the pizza.
Kevin received 1/3 of the pizza.
To find out how much of the pizza Mitchell kept for himself, we need to subtract the sum of these fractions from the whole pizza, which is represented by the fraction 1/1.
1/1 - 1/4 - 1/6 - 1/3 = 6/6 - 3/12 - 2/12 - 4/12 = 6/6 - 9/12 = 12/12 - 9/12 = 3/12
So, Mitchell kept 3/12 of the pizza for himself.
The correct answer is:
Mathml image of the pizza ........
To solve this problem and find out how much of the pizza Mitchell kept for himself, we need to first add up the fractions given to Julie, Margie, and Kevin. Let's calculate:
Fraction given to Julie: 1/4
Fraction given to Margie: 1/6
Fraction given to Kevin: 1/3
To find the total fraction given to his friends, we add these three fractions together:
1/4 + 1/6 + 1/3
To do this, we need to find a common denominator for these fractions. The smallest common multiple of 4, 6, and 3 is 12.
Now, let's convert each fraction to have a common denominator of 12:
(1/4)*(3/3) = 3/12
(1/6)*(2/2) = 2/12
(1/3)*(4/4) = 4/12
Now we can add these fractions:
3/12 + 2/12 + 4/12 = 9/12
So, the total fraction given to his friends is 9/12. To find out how much Mitchell kept for himself, we need to subtract this fraction from 1 (since 1 represents the whole pizza):
1 - 9/12 = 12/12 - 9/12 = 3/12
Therefore, Mitchell kept 3/12 of the pizza for himself. Finally, let's reduce this fraction to its lowest terms:
3/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
(3/3)/(12/3) = 1/4
So, Mitchell kept 1/4 of the pizza for himself.