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. What fraction of the pizza did Mitchell and Kevin eat?
Select the correct answer.
Question 4 options:
Mathml image of the pizza
Mathml image of the pizza
Mathml image of the pizza
Mathml image of the pizza
Question 5 (2 points)
To find the fraction of the pizza that Mitchell and Kevin ate, we need to add the fractions that Mitchell and Kevin each ate.
Mitchell ate the fraction 1/4 of the pizza.
Kevin ate the fraction 1/3 of the pizza.
To add these fractions, we need to find a common denominator. The least common multiple of 4 and 3 is 12.
So, Mitchell ate (1/4) * (3/3) = 3/12 of the pizza.
Kevin ate (1/3) * (4/4) = 4/12 of the pizza.
Now we can add these fractions together:
Mitchell and Kevin ate (3/12) + (4/12) = 7/12 of the pizza.
Therefore, Mitchell and Kevin ate 7/12 of the pizza.
To solve this problem, we need to find the fraction of the pizza that Mitchell and Kevin ate.
Mitchell gave 1/4 of the pizza to Julie, 1/6 of the pizza to Margie, and 1/3 of the pizza to Kevin.
To find the fraction of the pizza that Mitchell and Kevin ate, we add their shares:
1/4 + 1/3
To add these fractions, we need to find a common denominator. The least common multiple of 4 and 3 is 12.
1/4 * 3/3 + 1/3 * 4/4
This gives us:
3/12 + 4/12 = 7/12
Therefore, Mitchell and Kevin together ate 7/12 of the pizza.
So, the correct answer is:
Mathml image of the pizza
To solve this problem and find the fraction of the pizza that Mitchell and Kevin ate, we need to add the fractions that Mitchell and Kevin each ate.
Mitchell ate the remaining fraction of the pizza after giving portions to Julie, Margie, and Kevin. We can find this fraction by subtracting the fractions given to Julie, Margie, and Kevin from 1 (since the whole pizza is represented by 1).
1 - (1/4 + 1/6 + 1/3)
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 4, 6, and 3 is 12. We can rewrite the fractions with a common denominator:
1/4 = 3/12
1/6 = 2/12
1/3 = 4/12
Now we can substitute these values into the expression and simplify:
1 - (3/12 + 2/12 + 4/12)
1 - (9/12)
To subtract these fractions, we also need a common denominator:
1 - (9/12) = 12/12 - 9/12 = 3/12
So Mitchell ate 3/12 of the pizza.
To find the fraction that Mitchell and Kevin ate together, we need to add the fraction Mitchell ate with the fraction Kevin ate. We already have Mitchell's fraction as 3/12. Kevin's fraction given is 1/3. We can convert the fraction 1/3 to have a denominator of 12:
1/3 = 4/12 (by multiplying the numerator and denominator by 4)
Now we can add the fractions:
3/12 + 4/12 = 7/12
Therefore, Mitchell and Kevin ate 7/12 of the pizza.
Looking at the options, the correct answer is:
Mathml image of the pizza