Fraction Division Models

Front

What is the result of dividing a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, 1/2 ÷ 2 = 1/2 * 1/2 = 1/4.

Front

How do you divide two fractions?

Back

To divide two fractions, multiply the first fraction by the reciprocal of the second fraction. For example, 1/2 ÷ 1/4 = 1/2 * 4/1 = 2.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

What does the division of fractions represent in real-world scenarios?

Back

The division of fractions can represent scenarios such as sharing, partitioning, or determining how many times one fraction fits into another.

Front

What is the quotient of 6 divided by 1/3?

Back

6 ÷ 1/3 = 6 * 3/1 = 18.

Front

How can you visualize fraction division using models?

Back

Fraction division can be visualized using area models, number lines, or set models to show how many times one fraction fits into another.

Front

What is the relationship between division and multiplication in fraction division?

Back

Division of fractions is the inverse operation of multiplication. Dividing by a fraction is equivalent to multiplying by its reciprocal.

Front

What is the result of dividing 2/3 by 2?

Back

2/3 ÷ 2 = 2/3 * 1/2 = 2/6 = 1/3.

Front

How do you simplify the result of a fraction division?

Back

To simplify the result of a fraction division, divide the numerator and denominator by their greatest common divisor (GCD).

Front

What is a common mistake when dividing fractions?

Back

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