Multiplying Fractions by Whole Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as two numbers separated by a slash, such as 1/2, where the top number (numerator) indicates how many parts are taken, and the bottom number (denominator) indicates how many equal parts the whole is divided into.

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 1/2 means you take 1/2 three times, which equals 1 and 1/2.

Front

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

Back

To convert an improper fraction (where the numerator is larger than the denominator) to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

What is the product of 5 and 4/6?

Back

The product of 5 and 4/6 is 3 2/6, which can also be simplified to 3 1/3.

Front

How do you represent 2 x 2/6 visually?

Back

You can represent 2 x 2/6 using a model that shows two groups of 2/6, such as two shaded parts of a circle divided into six equal parts.

Front

What is the multiplication equation for 3 x 3/4?

Back

The multiplication equation for 3 x 3/4 is 3 x 3/4 = 2 1/4.

Front

What is the result of multiplying 3/5 by 3?

Back

The result of multiplying 3/5 by 3 is 9/5.

Front

What is the result of multiplying 3 by 5/6?

Back

The result of multiplying 3 by 5/6 is 2 2/6, which can also be simplified to 2/3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 1 1/2, which represents one whole and one half.

Front

How do you simplify the fraction 15/18?

Back

To simplify the fraction 15/18, divide both the numerator and the denominator by their greatest common divisor, which is 3. This gives you 5/6.