# Mathematics - Class 5 / Grade 5

- Multiplication Of Fraction
### Multiplication Of Fraction

Math - Class 5 – Multiplying Fraction / Properties of Multiplication of Fractions/ Multiply fractions and whole numbers/ Multiply two fractions/ Divide two fractions/ Dividing Fractions and Mixed Numbers – Key Points/Notes/Worksheets/Explanation/Lesson/Practice Questions Tags: Multiplying unit fractions and whole numbers, How to multiply a fraction? Free downloadable Worksheet PDF on Multiplying Fraction for fifth standard, Lesson on Multiplication of Fractions for 5th class, Properties of Multiplication of Fraction for class 5, Multiplicative inverse of fraction practice page, What is multiplicative inverse? What is reciprocal of fraction? How to find multiplicative inverse of a fraction? Multiplication Of a Fraction by a Fraction, Multiplication of a Fractional Number by a Whole Number worksheet PDF for Grade 5, multiplication of fractions with whole numbers for Class V, multiplication of mixed fractions examples for fifth Grade, How to multiply fractions with whole numbers? How do you multiply a fraction? How do you multiply fractions with the same denominator? Steps to multiply fractions, Multiplication of a mixed fraction by a whole number, Multiplication of a improper fraction by improper fraction. Multiplication of a fractional numberMultiplication of Fraction

Multiplication is actually a repeated addition. Let’s understand this with following example.

*Dia distributed chocolates equally among her 6 friends. Each of them got ½ a chocolate. How many chocolates did Dia distributed?***Repeated addition:**½ + ½ + ½ + ½ + ½ + ½ = 3**Multiplication:**½ x 6= 3

So, Dia distributed 3 chocolates.

__We found that multiplication is faster than adding numbers__.**Note:**‘**Of**’ stands for multiplication.Multiplication of a Fractional Number by a Whole Number

__Step 1:__If the given fraction is a mixed fraction, convert it into improper fraction.__Step 2:__Rewrite given whole number as a fraction by simply placing 1 below the whole number.__Step 3:__Multiply the numerator of the first fraction with the numerator of the second fraction to get the new numerator.__Step 4:__Multiply the denominator of the first fraction with the denominator of the second fraction to get the new denominator.__Step 5:__Now write the new numerator over the new denominator.__Step 6:__Simplify the fraction formed in its lowest terms by dividing the numerator and denominator by the same factor.__Step 7:__Always write the answer as a mixed fraction, if it is not a proper fraction/whole number.Example 1:

Example 2:

Multiplication of a Fraction by a Fraction

__Step 1:__Convert mixed fraction into improper fraction.__Step 2:__Simplify the fractions if not in lowest terms.__Step 3:__Multiply the numerators of the fractions to get the new numerator.__Step 4:__Multiply the denominators of the fractions to get the new denominator.__Step 5:__Now write the new numerator over the new denominator.__Step 6:__Simplify the new fraction if needed.__Step 7:__The answer should always be a whole number, a mixed fraction or a proper fraction and never an improper fraction.Example 1:

Example 2:

Example 3:

Properties of Multiplication Of Fractional Numbers

**Property 1:**Changing the order of fractional number does not change the product.Example:

**Property 2:**When a fractional number is multiplied by 1, the product is the fractional number itself.Example:

**Property 3:**The product of any fractional number and zero (0) is zero (0).Example:

Multiplicative Inverse or Reciprocal

To find the multiplicative inverse of a proper or improper fraction, we interchange the numerator and denominator of the given fraction. If the given number is a mixed fraction or whole number, then first change it into an improper fraction, then interchange the numerator and denominator.

__Another name for Multiplicative Inverse is Reciprocal.__When we multiply any number by its multiplicative inverse, we get 1 as answer.

Important Facts

1. The reciprocal of a proper fraction is an improper fraction.

2. The reciprocal of an improper fraction is a proper fraction.

3. The reciprocal of a whole number excluding “0” will always have a numerator 1 i.e. it will be a unit fraction.

4. The multiplicative inverse of 1 is 1.

5. The multiplicative inverse of 0 cannot be found.

**Download to practice offline.**