Multiplying Fractions with Models

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator indicates how many parts are taken and the denominator indicates the total number of equal parts.

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. Simplify the resulting fraction if possible.

Front

What does the numerator represent in a fraction?

Back

The numerator represents the number of parts being considered out of the total number of equal parts indicated by the denominator.

Front

What does the denominator represent in a fraction?

Back

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

Front

What is the product of 3/4 and 4/6?

Back

The product of 3/4 and 4/6 is (3*4)/(4*6) = 12/24, which simplifies to 1/2.

Front

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

Back

The product of 2/5 and 1/5 is (2*1)/(5*5) = 2/25.

Front

What is a model in the context of multiplying fractions?

Back

A model in this context is a visual representation that helps illustrate the concept of multiplying fractions, often using area models or number lines.

Front

How can area models help in understanding fraction multiplication?

Back

Area models visually demonstrate how fractions can be multiplied by showing the overlapping areas of two rectangles, each representing a fraction.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with, and it helps in finding equivalent fractions.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator may be different.