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).

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?

Back

To divide 1/2 by 1/4, multiply 1/2 by the reciprocal of 1/4, which is 4/1. So, 1/2 ÷ 1/4 = 1/2 × 4/1 = 2.

Front

What is a model in mathematics?

Back

A model in mathematics is a visual representation that helps to understand and solve problems. It can be a drawing, diagram, or physical object.

Front

How can you use a number line to divide fractions?

Back

You can use a number line to visualize the division of fractions by marking the fractions and showing how many times one fraction fits into another.

Front

What is a visual model for dividing fractions?

Back

A visual model for dividing fractions can include area models or bar models that show how one fraction is divided into parts of another.

Front

What is the area model for dividing fractions?

Back

The area model involves drawing a rectangle divided into parts to represent the fractions being divided, helping to visualize the division process.

Front

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

Back

To represent 3/4 ÷ 1/2, draw a rectangle divided into 4 equal parts, shade 3 parts, and then show how many 1/2 parts fit into the shaded area.

Front

What is the first step in dividing fractions?

Back

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