Multiplying Fractions by a Whole Number

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists 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, 1/3 x 3 means you have three 1/3 parts.

Front

How do you multiply a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same. For example, 2/5 x 3 = (2 x 3)/5 = 6/5.

Front

What is the numerator in a fraction?

Back

The numerator is the top number in a fraction that indicates how many parts you have.

Front

What is the denominator in a fraction?

Back

The denominator is the bottom number in a fraction that indicates how many equal parts the whole is divided into.

Front

What is an example of multiplying a fraction by a whole number?

Back

An example is 1/4 x 2 = 2/4, which simplifies to 1/2.

Front

What happens to the fraction when you multiply it by a whole number greater than 1?

Back

When you multiply a fraction by a whole number greater than 1, the result is a larger fraction or a whole number. For example, 1/2 x 4 = 4/2 = 2.

Front

Can you simplify the result of multiplying a fraction by a whole number?

Back

Yes, you can simplify the result if the numerator and denominator have common factors. For example, 3/6 can be simplified to 1/2.

Front

What is the product of 2/3 and 3?

Back

The product is 2/3 x 3 = (2 x 3)/3 = 6/3 = 2.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.