How to multiply a mixed number by a whole number?

A fraction which is a combination of a whole number and a proper fraction is known as a mixed fraction.

Whole numbers are all natural numbers including 0

Answer: Mixed numbers are multiplied by a whole number by converting the mixed number to an improper fraction and multiplying it to the whole number.

Following are the two steps to multiply a mixed number by a whole number.

Explanation:

A fraction in which the numerator is equal to or greater than the denominator is called an improper fraction. Let us understand the multiplication of a mixed number and a whole number.

• Convert the given mixed fraction to an improper fraction.
• Write the whole number in the form of a fraction with denominator 1.
• Multiply the numerators of both the fractions.
• Multiply the denominators of both the fractions.
• Combine them and simplify the fraction to its lowest form.

Example: Find the product of 3 2⁄5 and 25

Step 1: Convert 3 2⁄5 to an improper fraction.

3 2⁄5 = 17/5

Step 2: Represent 25 as a fraction.

25 = 25/1

Step 3: Multiply the numerators of the two fractions.

17 × 25 = 425

Step 4: Multiply the denominators of the two fractions.

5 × 1 = 5

Step 5: Combine and write the fraction in its lowest form.

425/5 = 85/1 = 85

Hence, mixed numbers are multiplied by a whole number by converting the mixed number to an improper fraction and multiplying it to the whole number.