Dividing Fractions with Models

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, 1/2 means one part out of two equal parts.

Front

What does it mean to divide fractions?

Back

Dividing fractions means finding out how many times one fraction fits into another. It involves multiplying by the reciprocal of the second fraction.

Front

What is the reciprocal of a fraction?

Back

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

Front

How do you divide 1/2 by 1/4 using models?

Back

To divide 1/2 by 1/4, you can use a model to show that 1/2 can be divided into two 1/4 pieces. Therefore, 1/2 ÷ 1/4 = 2.

Front

What is the first step in dividing fractions?

Back

The first step in dividing fractions is to find the reciprocal of the second fraction.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (1/2) * (3/4) = 3/8.

Front

What is a visual model for dividing fractions?

Back

A visual model can be a number line or area model that shows how one fraction can be divided into parts of another fraction.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

How can you check your answer when dividing fractions?

Back

You can check your answer by multiplying the result by the divisor. If the product equals the dividend, your answer is correct.

Front

What is an example of dividing a whole number by a fraction?

Back

Dividing a whole number by a fraction, like 3 ÷ 1/2, can be solved by multiplying 3 by the reciprocal of 1/2, which is 2. So, 3 ÷ 1/2 = 6.