Multiplying a Fraction 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, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

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, 2 × (1/3) means you have two parts of one-third.

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, 3 × (2/5) = (3 × 2)/5 = 6/5.

Front

What is the result of multiplying 3/4 by 2?

Back

The result is 3/4 × 2 = (3 × 2)/4 = 6/4 = 1 1/2.

Front

If Marcy walks 3/5 of a mile each day, how far does she walk in 4 days?

Back

To find the total distance, multiply the fraction by the whole number: 3/5 × 4 = (3 × 4)/5 = 12/5 = 2 2/5 miles.

Front

What is the multiplication equation for feeding a dog 3/4 cup of food each day for 7 days?

Back

The equation is 7 × (3/4) = (7 × 3)/4 = 21/4 cups.

Front

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

Back

To convert an improper fraction to a mixed number, 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 3 × (1/8)?

Back

The result is 3/8. This means you have three parts of one-eighth.

Front

If Gabe uses 2/3 yard of fabric for each cape and makes 5 capes, how much fabric does he need?

Back

The total fabric needed is 5 × (2/3) = (5 × 2)/3 = 10/3 = 3 1/3 yards.

Front

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

Back

The formula is: Whole Number × (Numerator/Denominator) = (Whole Number × Numerator)/Denominator.