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 divisor.

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

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 contains two 1/4 pieces. Therefore, 1/2 ÷ 1/4 = 2.

Front

What is a visual model for dividing fractions?

Back

A visual model can be a number line, area model, or set model that helps to illustrate how fractions are divided.

Front

What is an area model for dividing fractions?

Back

An area model uses rectangles to represent fractions. You can shade parts of the rectangle to show how many times one fraction fits into another.

Front

How do you represent 3/4 ÷ 1/2 using a model?

Back

To represent 3/4 ÷ 1/2, you can show 3 shaded parts out of 4 in a rectangle and see how many 1/2 pieces fit into it. The answer is 1.5.

Front

What is the first step in dividing fractions?

Back

The first step is to find the reciprocal of the fraction you are dividing by.

Front

What does 'invert and multiply' mean?

Back

'Invert and multiply' means to flip the second fraction (the divisor) and then multiply it by the first fraction (the dividend).

Front

How do you simplify the fraction 6/8?

Back

To simplify 6/8, divide both the numerator and denominator by their greatest common factor, which is 2. So, 6/8 simplifies to 3/4.