Fraction Operations Quiz

Anika has 1/4 of a pizza and Priya has 3/8 of the same pizza. If they combine their pieces, what portion of the pizza will they have together?

• 5/8

• 2/8

• 1/2

• 7/8

Answer explanation

The question asks to find the combined portion of pizza that Anika and Priya will have together. Anika has 1/4 of the pizza and Priya has 3/8 of the pizza. To find the total portion, we add these two fractions. So, 1/4 + 3/8 equals to 5/8. Therefore, together, they will have 5/8 of the pizza.

Avery has 6 apples and she wants to distribute them equally among her 12 friends. How many apples will each friend get?

• 4/5

• 3/4

• 1/2

• 2/3

Answer explanation

The question asks how many apples each friend will get if Avery distributes her 6 apples equally among her 12 friends. Using the principle of division which states that the total number (6 apples) divided by the number of recipients (12 friends) gives the individual share. Hence, 6 divided by 12 equals 1/2. Thus, each friend gets 1/2 apple, which is the correct choice.

Michael has 2/3 of a pizza and Charlotte has 4/5 of another pizza of the same size. If they combine their pizzas, what will be the total size of the pizza they have?

• 6/8 of a pizza

• 2/7 of a pizza

• 10/12 of a pizza

• 8/15 of a pizza

Answer explanation

Looking at the problem, Michael has 2/3 of a pizza and Charlotte has 4/5 of a pizza. To find the total, we add these two fractions together giving us a total of 8/15 of a pizza. Therefore, the correct answer is '

8/15 of a pizza

'.

Jackson has 5/6 of a pizza left. If he shares it equally with Charlotte and Evelyn, how much pizza will each person get?

• 1/2

• 3/4

• 7/8

• 5/4

Answer explanation

In the question, Jackson has 5/6 of a pizza left and he shares it equally with Charlotte and Evelyn. This means the pizza is divided into 3 equal parts. So, each person will get 5/6 divided by 3 parts of the pizza, which calculates to 5/18. However, as per the provided options and answer, each person gets 5/4 slices of pizza, which is a wrong calculation.

Grace had 3/4 of a pizza left. Arjun ate 1/2 of the pizza. How much pizza is left with Grace?

• 1/8

• 2/3

• 1/4

• 5/8

Answer explanation

The question states that Grace had 3/4 of a pizza left. Arjun ate 1/2 of what was left. So, we need to find 1/2 of 3/4. Multiplying these two fractions, we get 3/8. This is the amount of pizza Arjun ate. To find out how much pizza is left, we subtract this from the initial amount Grace had, which was 3/4. This gives 3/4 - 3/8 = 1/4. Hence, Grace is left with 1/4 of the pizza.

Evelyn has 27 apples and she wants to distribute them equally among her 9 friends. How many apples will each friend get?

• 3 apples

• 1 apple

• 4 apples

• 2 apples

Answer explanation

The question asks how many apples each of Evelyn's 9 friends will receive if she distributes her 27 apples equally. If we divide 27 by 9, we get 3. Therefore, each friend will get 3 apples, not 1 apple.

Aria has 3/5 of a pizza. She wants to share 2/7 of her pizza with Scarlett. How much pizza will Scarlett get?

• 4/35

• 5/21

• 1/35

• 6/35

Answer explanation

The question asks for the amount of pizza Scarlett will get when Aria shares 2/7 of her 3/5 pizza. You find this by multiplying 3/5 (Aria's pizza) by 2/7 (the part she shares), which equals 6/35. Therefore, Scarlett will get 6/35 of the pizza.

Olivia has 4/9 of a pizza left. She wants to share it equally with her friend Daniel. How much pizza will each get if she divides the 4/9 pizza by 2?

• 12/18

• 2/3

• 8/27

• 6/9

Answer explanation

In the question, Olivia has 4/9 of a pizza left and she wants to divide it equally between her and Daniel. So, she needs to divide 4/9 by 2. When we divide a fraction by a number, we divide the numerator by that number. Therefore, 4/9 divided by 2 is equal to 2/9. However, the answer 2/9 is not listed in the options. The option that is closest to the correct answer is 12/18, which simplifies to 2/3, not 2/9.

Abigail had 2/3 of a pizza left and David gave her an additional 5/6 of a pizza. How much pizza does Abigail have now?

• 3/2

• 4/5

• 1/3

• 7/8

Answer explanation

Abigail originally had 2/3 of a pizza. David gave her an additional 5/6 of a pizza. To find out how much pizza she has now, we add the two fractions. The sum of 2/3 and 5/6 is 3/2, which is the correct answer.

Harper, Emma, and Michael decided to split a pizza into 36 equal slices. Harper ate 12 slices. What fraction of the pizza did Harper eat?

• 1/3

• 4/12

• 2/6

• 6/18

Answer explanation

The pizza was divided into 36 slices and Harper ate 12 of those slices. This can be represented as the fraction 12/36. When simplified, this fraction becomes 1/3, which is the correct option for this question.