1. Rachel, Olivia, and Deon make their own pizzas.
All three pizzas are the same size.
a. Rachel cut her pizza into four equal pieces and ate three pieces. What fraction of the pizza did she eat?
b. Olivia cut her pizza into eight equal pieces and ate five pieces. What fraction of the pizza did she eat?
c. Deon cut his pizza into six equal pieces and ate five pieces. What fraction of the pizza did he eat?
d. Who ate the most pizza? Who ate the least? How do u know?
2. Nora and Zachary made juice smoothies and poured them equally into 2 glasses that are the same size. Nora drank 2/3 of her smoothie. Zachary drank 75% of his. Who drank more of their smoothies? How do u know?
3. Lourdes ate 25% of a sandwich. Mitch ate 50% of a different sandwich. Mitch claims that he ate the same amount as Lourdes.
Please help me i do not get this and please explain.
a 3/4
b 5/8
c 5/6
d deon ate the most
2 Zachary drank more
3 I do not know
Right.
The only possible answer for 3 is that Lourdes' sandwich was larger than Mitch's.
Thanks
You're welcome.
1. To find the fraction of the pizza each person ate, we need to compare the number of pieces they ate to the total number of pieces.
a. Rachel cut her pizza into four equal pieces and ate three pieces. The fraction of the pizza she ate is 3/4. To calculate this, we divide the number of pieces she ate (3) by the total number of pieces (4).
b. Olivia cut her pizza into eight equal pieces and ate five pieces. The fraction of the pizza she ate is 5/8. Dividing the number of pieces she ate (5) by the total number of pieces (8) gives us the fraction.
c. Deon cut his pizza into six equal pieces and ate five pieces. The fraction of the pizza he ate is 5/6. Again, divide the number of pieces he ate (5) by the total number of pieces (6).
d. To determine who ate the most and least, compare the fractions. The person who ate the largest fraction ate the most pizza. In this case, Olivia ate the largest fraction (5/8), so she ate the most pizza. Rachel ate the smallest fraction, so she ate the least amount of pizza.
2. To compare how much of their smoothies Nora and Zachary drank, we need to compare their fractions.
Nora drank 2/3 of her smoothie, which means she had 2 out of 3 equal parts. Zachary drank 75% of his smoothie, which means he had 75 out of 100 equal parts.
To compare the fractions directly, convert both fractions to have the same denominator. In this case, we can multiply 2/3 by 25/25, which gives us 50/75. Since 75% is the same as 75/100, it is already in the required form.
Comparing the fractions, we see that Nora drank 50/75 of her smoothie (which can also be simplified as 2/3), while Zachary drank 75/100 of his smoothie (which can be simplified as 3/4).
To determine who drank more, compare the fractions. In this case, Zachary drank 3/4 (equivalent to 75/100), which is a larger fraction than Nora's 2/3 (equivalent to 50/75). Therefore, Zachary drank more of his smoothie than Nora.
3. Lourdes ate 25% of a sandwich, and Mitch ate 50% of a different sandwich. To determine if Mitch ate the same amount as Lourdes, we need to compare the fractions.
Lourdes ate 25% of her sandwich, which means she had 25 out of 100 equal parts. Mitch ate 50% of his sandwich, which means he had 50 out of 100 equal parts.
Comparing the fractions, we see that both Lourdes and Mitch ate the same amount since their fractions are equal. Lourdes ate 25/100 of her sandwich, while Mitch ate 50/100 of his sandwich. Both fractions are equivalent to 1/4, so they ate the same amount.
In summary:
a. Rachel ate 3/4 of her pizza.
b. Olivia ate 5/8 of her pizza.
c. Deon ate 5/6 of his pizza.
d. Olivia ate the most pizza, and Rachel ate the least pizza.
2. Zachary drank more of his smoothie than Nora.
3. Mitch did not eat the same amount as Lourdes; he ate twice as much.
a. What fraction shows 3 out of 4?
b. What fraction shows 5 out of 8?
and so on --
2. 2/3 = 66.7%
3. Were their sandwiches the same size?