5.3I and 5.3J Read and Understand Fraction Division Models

Front

What is the process of dividing fractions called?

Back

Dividing fractions involves multiplying by the reciprocal of the divisor.

Front

How do you represent the division of a whole number by a fraction?

Back

To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction.

Front

What does the expression \( \frac{1}{2} \div 4 \) represent in terms of division models?

Back

It represents dividing a half loaf of bread into 4 equal parts.

Front

What is the reciprocal of \( \frac{1}{6} \)?

Back

The reciprocal of \( \frac{1}{6} \) is \( 6 \).

Front

How can you visualize the division of fractions?

Back

You can use models such as number lines, area models, or set models to visualize fraction division.

Front

What does the expression \( 3 \div \frac{1}{6} \) equal?

Back

It equals 18, meaning 3 is divided into parts of size \( \frac{1}{6} \).

Front

What is a common mistake when dividing fractions?

Back

A common mistake is to multiply the fractions instead of using the reciprocal.

Front

How do you convert a division problem into a multiplication problem?

Back

By multiplying the first fraction by the reciprocal of the second fraction.

Front

What is the result of \( 4 \times \frac{1}{4} \)?

Back

The result is 1, as you are finding one-fourth of 4.

Front

What does a model showing \( \frac{1}{2} \div 5 \) represent?

Back

It represents dividing a half into 5 equal parts, resulting in \( \frac{1}{10} \).