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).

Front

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

Back

Multiplying a fraction by a whole number means taking that fraction and adding it to itself as many times as the whole number indicates.

Front

How do you visualize multiplying fractions with models?

Back

You can use area models or number lines to show how a fraction of a whole is represented when multiplied by a whole number.

Front

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

Back

Convert the whole number into a fraction by placing it over 1.

Front

If you multiply 2/3 by 3, what is the result?

Back

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

Front

What is the equation for multiplying 4 by 1/2?

Back

4 x 1/2 = 4/1 x 1/2 = 4/2 = 2.

Front

How do you simplify the result of multiplying fractions?

Back

You can simplify the result by dividing the numerator and denominator by their greatest common factor.

Front

What is an example of a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/3.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

Front

What is the improper fraction for 3 1/2?

Back

3 1/2 = (3 x 2 + 1)/2 = 7/2.