Multiplying Fractions by Whole Numbers 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). For example, 1/2 means one part out of two equal parts.

Front

What does it mean to multiply a fraction by a whole number?

Back

Multiplying a fraction by a whole number means you are taking that fraction and adding it to itself a certain number of times. For example, 3 x 1/4 means adding 1/4 three times.

Front

How do you visualize multiplying fractions with models?

Back

You can use area models or number lines to visualize multiplying fractions. For example, shading a part of a rectangle can show how much of the whole is represented by the fraction.

Front

What is the equation for multiplying a whole number by a fraction?

Back

The equation is written as: Whole Number x Fraction = Result. For example, 2 x 3/4 = 6/4 or 1 1/2.

Front

What is the first step in multiplying a fraction by a whole number?

Back

The first step is to convert the whole number into a fraction by placing it over 1. For example, 3 becomes 3/1.

Front

What is the product of 3 and 2/5?

Back

3 x 2/5 = 6/5 or 1 1/5.

Front

True or False: 4 x 1/2 = 2.

Back

True. 4 x 1/2 equals 2.

Front

What is the result of 5 x 3/4?

Back

5 x 3/4 = 15/4 or 3 3/4.

Front

How do you simplify the result of multiplying fractions?

Back

To simplify, divide the numerator and denominator by their greatest common factor. For example, 6/8 simplifies to 3/4.

Front

What does the numerator represent in a fraction?

Back

The numerator represents the number of parts you have.