Multiplying a Fraction by a Whole Number

Front

What is the process for multiplying 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, to multiply 3/5 by 4, calculate (3 * 4) / 5 = 12/5.

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 becomes the whole number, and the remainder becomes the new numerator over the original denominator. For example, 12/5 = 2 2/5.

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (the top number) and a denominator (the bottom number). For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

Front

What is a whole number?

Back

A whole number is a non-negative integer that does not include fractions or decimals. Examples of whole numbers are 0, 1, 2, 3, etc.

Front

How do you find the total distance walked if a person walks a fraction of a mile each day for several days?

Back

To find the total distance, multiply the fraction of a mile walked each day by the number of days. For example, if someone walks 3/5 of a mile each day for 4 days, the total distance is (3/5) * 4 = 12/5 miles.

Front

What is the formula for finding the total amount of fabric needed when making multiple items?

Back

To find the total amount of fabric needed, multiply the amount of fabric used for one item by the number of items being made. For example, if each cape requires 2/3 yard of fabric and 5 capes are made, the total fabric needed is (2/3) * 5 = 10/3 yards.

Front

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

Back

Multiplying a fraction by a whole number means scaling the fraction by that whole number, which results in a new fraction that represents a larger part of the whole.

Front

How can you express the total amount of dog food needed for a week if a dog is fed a fraction of a cup each day?

Back

To express the total amount of dog food needed for a week, multiply the daily amount of dog food by 7 (the number of days in a week). For example, if a dog is fed 3/4 cup each day, the total for a week is (3/4) * 7 = 21/4 cups.

Front

What is the significance of the denominator in a fraction?

Back

The denominator in a fraction indicates the total number of equal parts the whole is divided into. It determines the size of each part represented by the numerator.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 6/8, divide both by 2 to get 3/4.