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: Whole Number x Fraction = Resulting Fraction or Mixed Number.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 1 1/2.

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

What is the result of 5 x 1/3?

Back

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

Front

What is the result of 6 x 3/4?

Back

6 x 3/4 = 18/4 or 4 1/2.

Front

What is the result of 2 x 3/4?

Back

2 x 3/4 = 6/4 or 1 1/2.

Front

What is the result of 4 x 1/3?

Back

4 x 1/3 = 4/3 or 1 1/3.