Interpreting Remainders when Dividing Fractions Using Models

The video tutorial explains how to interpret remainders when dividing fractions using models. It begins with a review of dividing whole numbers and fractions, highlighting the concept of remainders. The tutorial then demonstrates dividing 2/3 by 1/2 using a model, showing how to interpret the remainder as a fraction of the divisor. The process is repeated with 5/8 divided by 1/2, reinforcing the method and verifying results by multiplying by the reciprocal. The lesson emphasizes understanding remainders in fraction division through visual models.

What does it mean when you divide a whole number by another whole number and have a remainder?

• The divisor fits perfectly into the dividend.

• There is a leftover part that can be expressed as a fraction.

• The division is complete with no leftover.

• The dividend is smaller than the divisor.

When dividing 2/3 by 1/2 using a model, what is the quotient?

• 2

• 1 1/2

• 1

• 1 1/3

What is the first step in dividing fractions using a model?

• Multiply the fractions directly.

• Subtract the divisor from the dividend.

• Convert the fractions to decimals.

• Represent the dividend using a model.

How can you verify the result of a fraction division?

• By dividing the result by the original dividend.

• By subtracting the divisor from the dividend.

• By multiplying by the reciprocal of the divisor.

• By adding the fractions together.

What does the remainder represent when dividing fractions?

• A complete group of the divisor.

• A complete group of the dividend.

• A leftover part of the dividend.

• An extra group of the dividend.

In the example with 5/8 yards of ribbon, how many half-yard pieces can be cut?

• 1 1/2

• 1

• 1 1/4

• 2

How many equal pieces is the divisor split into when writing the remainder as a fraction?

• 3

• 5

• 2

• 4