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
The correct answer is:
Mathml image of the pizza
To solve this problem, we need to find the fraction of the pizza that Mitchell kept for himself.
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 Mitchell kept for himself, we need to subtract the fractions given to Julie, Margie, and Kevin from the whole pizza (1/1).
So, the fraction of the pizza that Mitchell kept for himself is:
1 - (1/4 + 1/6 + 1/3)
To add these fractions, we need to find a common denominator:
1 - (3/12 + 2/12 + 4/12)
Now, we can subtract the numerators:
1 - 9/12
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3:
3/3 - 9/12
1 - 3/4
To subtract the fractions, we need a common denominator of 4:
4/4 - 3/4
1/4
So, Mitchell kept 1/4 of the pizza for himself.
Therefore, the correct answer is:
MathML image of the pizza
To solve this problem, we need to find the fraction of the pizza that Mitchell kept for himself.
Mitchell gave Julie 1/4 of the pizza, Margie 1/6 of the pizza, and Kevin 1/3 of the pizza.
To find the fraction that Mitchell kept for himself, we need to subtract the fractions given to Julie, Margie, and Kevin from 1 whole.
The fraction given to Julie is 1/4, the fraction given to Margie is 1/6, and the fraction given to Kevin is 1/3.
To add or subtract fractions, we need to find a common denominator. In this case, the smallest common denominator is 12.
Let's convert the fractions to have a denominator of 12.
1/4 = 3/12 (since 4 * 3 = 12)
1/6 = 2/12 (since 6 * 2 = 12)
1/3 = 4/12 (since 3 * 4 = 12)
Now, we can subtract these fractions from 1 whole.
1 - (3/12 + 2/12 + 4/12) = 1 - 9/12 = 3/12.
So, Mitchell kept 3/12 of the pizza for himself.
Now, we need to reduce this fraction to its lowest terms.
To reduce a fraction to its lowest terms, we find the greatest common divisor (GCD) of the numerator and denominator and divide both the numerator and denominator by it.
The GCD of 3 and 12 is 3.
Dividing both the numerator and denominator by 3, we get:
3/12 = 1/4.
Therefore, Mitchell kept 1/4 of the pizza for himself.
Based on the options provided, the correct answer is "Mathml image of the pizza".