Multiplying Fractions- Area Model Edition

Front

What is the area model for multiplying fractions?

Back

The area model for multiplying fractions visually represents the product of two fractions as the area of a rectangle, where the lengths of the sides are the fractions being multiplied.

Front

How do you find the product of two fractions using the area model?

Back

To find the product of two fractions using the area model, draw a rectangle divided into sections that represent the fractions. The area of the rectangle (number of sections filled) represents the product.

Front

What is the product of 3/5 and 3/10?

Back

The product of 3/5 and 3/10 is 9/50.

Front

What multiplication problem does the area model represent when the product is 4/15?

Back

The area model represents the multiplication problem 2/3 x 2/5, which equals 4/15.

Front

What is the product of 2/5 and 1/5?

Back

The product of 2/5 and 1/5 is 2/25.

Front

How can you represent the multiplication of 3/8 and 1/4 using an area model?

Back

To represent 3/8 x 1/4 using an area model, draw a rectangle divided into 8 equal parts (for 3/8) and then divide the height into 4 equal parts (for 1/4). The overlapping area represents the product.

Front

What is the first step in using the area model to multiply fractions?

Back

The first step is to draw a rectangle and divide it into sections based on the first fraction's denominator.

Front

What does the denominator of a fraction represent in the area model?

Back

The denominator of a fraction represents the total number of equal parts the whole is divided into.

Front

What does the numerator of a fraction represent in the area model?

Back

The numerator of a fraction represents the number of parts being considered or shaded in the area model.

Front

How do you simplify the product of two fractions?

Back

To simplify the product of two fractions, multiply the numerators together and the denominators together, then reduce the resulting fraction to its simplest form.