Multiply Fractions with Models

Front

What is a fraction?

Back

A fraction represents a part of a whole, consisting of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to multiply fractions?

Back

Multiplying fractions means finding a part of a part. You multiply the numerators together and the denominators together.

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 1/3?

Back

1/2 x 1/3 = 1/6.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 4/8?

Back

4/8 can be simplified to 1/2 by dividing both the numerator and denominator by 4.

Front

What is a model for multiplying fractions?

Back

A model for multiplying fractions can be a visual representation, such as area models or number lines, showing how parts of parts work.

Front

What does 3/4 x 2/3 look like in a model?

Back

In a model, you can shade 3/4 of a rectangle and then take 2/3 of that shaded area.

Front

What is the result of 3/7 x 2/9?

Back

3/7 x 2/9 = 6/63, which simplifies to 2/21.

Front

What is the area model for 2/4 x 2/3?

Back

An area model shows a rectangle divided into 4 parts (2 shaded) and then divided into 3 parts (2 shaded), representing the multiplication.