How to multiply a mixed number by a whole number


Question: 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 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

  • 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 it's lowest form

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

Step 1: Convert 3 2⁄5 to 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 = 42

Step 4: Multiply the denominators of the two fractions

5 × 1 = 5

Step 5: Combining them and writing the fraction in it's lowest form

425/5 = 85/1

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