Multiplying and Simplifying Fractions

Liam has 3/4 of a pizza and he wants to share 2/5 of it with Isla. How much pizza will Isla get?

• 3/10

• 5/12

• 1/7

• 4/15

Answer explanation

Isla will get 3/10 of the pizza. This is because 2/5 of 3/4 is equal to 3/10, which is the correct answer choice.

Tags

CCSS.5.NF.B.6

Jackson has 5 apples and he wants to share them with Mason and Abigail. He decides to give 5/8 of his apples to Mason and 2/3 of what's left to Abigail. What is the result of canceling out the common factor in the product of the fractions representing the apples given to Mason and Abigail?

• 1/4

• 5/12

• 7/15

• 3/10

Answer explanation

To find the result of canceling out the common factor, we multiply 5/8 and 2/3. The common factor is 1, so the result is 5/12. Therefore, the correct choice is 5/12.

Tags

CCSS.5.NF.B.6

Aiden, Benjamin, and Elijah are baking a cake and need to multiply fractions for the recipe. When should they use cross-canceling?

• When the fractions in the recipe have different denominators

• When the fractions in the recipe have the same numerator

• When the fractions in the recipe have no common factors

• When there are common factors in the numerator of one fraction and the denominator of the other fraction in the recipe.

Answer explanation

Cross-canceling should be used when there are common factors in the numerator of one fraction and the denominator of the other fraction in the recipe.

Tags

CCSS.5.NF.B.6

Henry has 1/3 of a pizza and Anika has 4/9 of another pizza of the same size. If they combine their pizzas, what fraction of a whole pizza will they have?

• 5/18

• 4/27

• 2/9

• 7/12

Answer explanation

To find the fraction of a whole pizza, add the fractions Henry and Anika have. 1/3 + 4/9 = 7/27. Therefore, they will have 7/27 of a whole pizza, which is equivalent to 4/27.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Jackson has 7 apples and he wants to share them equally with his 10 friends. On the other hand, Evelyn has 5 oranges and she wants to share them equally with her 14 friends. If we compare the amount of fruit each friend gets, what is the result of canceling out the common factor in the product 7/10 * 5/14?

• 1/4

• 2/7

• 5/8

• 3/5

Answer explanation

To cancel out the common factor, divide both numerator and denominator by 2. The result is 1/4, which matches the correct choice.

Tags

CCSS.5.NF.B.6

Benjamin has 2/7 of a pizza and Jackson has 3/5 of another pizza of the same size. If they combine their pizzas, what fraction of a whole pizza will they have?

• 5/21

• 6/35

• 1/12

• 4/35

Answer explanation

To find the fraction of a whole pizza, add the fractions Benjamin and Jackson have. The correct choice is 6/35.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Ava has 2/3 of a pizza and James has 1/2 of a pizza. They want to combine their pizzas to share with Mason. What should they do before multiplying the numerators and denominators of their fractions?

• Simplify the fractions

• Add the numerators

• Subtract the numerators

• Divide the numerators

Answer explanation

Before multiplying the numerators and denominators, Ava and James should simplify the fractions.

Tags

CCSS.5.NF.B.6

Isla has 5/6 of a pizza left. She shares 2/3 of what's left with Oliver. How much of the original pizza does Oliver get?

• 3/10

• 7/8

• 1/2

• 5/9

Answer explanation

Isla shares 2/3 of the remaining 5/6 pizza with Oliver. Therefore, Oliver gets 5/9 of the original pizza.

Tags

CCSS.5.NF.B.6

Evelyn has 9 apples and she wants to share them equally among her 12 friends. William also has 3 apples and he wants to share them equally among his 6 friends. If they cancel out the common factor in the number of apples they have and the number of friends they have, what will be the result?

• 5/6

• 1/2

• 2/3

• 3/4

Answer explanation

The result will be 1/2. By canceling out the common factor of 3, Evelyn and William each have 3 apples and 6 friends. Therefore, they can share the apples equally, resulting in 1/2.

Benjamin and Anika are baking a cake and they need to multiply fractions for the recipe. After multiplying the numerators and denominators, how should they simplify the result?

• Add the numerators and denominators together

• Multiply the numerators and denominators again

• Subtract the numerators and denominators

• Divide both the numerator and denominator by their greatest common divisor (GCD)

Answer explanation

To simplify the result of multiplying fractions, divide both the numerator and denominator by their greatest common divisor (GCD). This ensures the fraction is in its simplest form.