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.
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