Fraction Multiplication Models

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What does it mean to multiply fractions?

Back

Multiplying fractions involves multiplying the numerators together and the denominators together to find the product.

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators to get the new numerator and multiply the denominators to get the new denominator.

Front

What is the product of 1/2 and 3/4?

Back

The product is (1*3)/(2*4) = 3/8.

Front

What is a visual model for multiplying fractions?

Back

A visual model can be a rectangle divided into parts to show how the fractions overlap and combine.

Front

What is the area model in fraction multiplication?

Back

The area model uses a rectangle to represent the product of two fractions by showing the area of overlapping sections.

Front

How can you represent 1/3 multiplied by 1/2 using a model?

Back

Draw a rectangle, divide it into 3 equal parts (for 1/3), then shade 1/2 of one of those parts.

Front

What is the relationship between fraction multiplication and area?

Back

Fraction multiplication can be understood as finding the area of a rectangle where the sides are the fractions.

Front

What is a common mistake when multiplying fractions?

Back

A common mistake is to add the fractions instead of multiplying them.

Front

How do you simplify the product of fractions?

Back

To simplify, divide the numerator and denominator by their greatest common factor.