Fraction

Multiplication of a Fraction by a Whole Number

Multiplication of a fraction by a whole number can be understood by below example

Suppose we have 2, 1/4 piece of chocolate. So total chocolate we have,

Multiply fractions with whole numbers

Here are the steps to multiply fractions with whole numbers

· If we have mixed fraction in the multiplication, first convert into improper fraction

· Now multiply the whole number with the numerator of the fraction, keeping the denominator same

· We can simplify the fractions if needed and if the multiplication fraction results in improper fraction, you can convert into mixed fraction if required.

Examples:

Fraction as an operator 'of'

'of' represent multiplication .So 1/2 of 4 is represent 1/2×4=2

Examples:

Multiplication of a Fraction by a Fraction/Multiplying Fractions

Let us understand Multiplying Fractions through an example.

Suppose Ram have half (1/2) piece of pizza. And he want to equally share that with his Friend Suresh. So each of them would get 1/2 of 1/2 which can be written as
of = ×

Now we can easily see that each of them get 1/4 piece of the whole pizza actually. So
of = × = .

Here we can see that multiplying fraction is simply acheived by 

How to multiply fractions with fractions

Here are the steps for multiplying fractions

· If we have mixed fraction in the multiplication, first convert into improper fraction

· Now obtain the products of the numerator and denominators.

· We can simplify the fractions if needed and if the multiplication fraction results in improper fraction, you can convert into mixed fraction if required.

Examples:

Value of Product of fractions

a. when two proper fractions are multiplied, the product is less than each of the fractions 
b. the product of two improper fractions is greater than each of the two fractions.