In this we will learning multiplying fractions, how to multiply fractions with whole numbers, how to multiply 3 fractions and various other thing related to Multiplication
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,
$\frac {1}{4} + \frac {1}{4} =\frac {2}{4}= \frac {1}{2}$
or
$\frac {1}{4} + \frac {1}{4} =2 \times \frac {1}{4}$
So,
$2 \times \frac {1}{4} =\frac {2}{4}= \frac {1}{2}$
How to 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.
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
$\frac {1}{2} \; of \; \frac {1}{2} = \frac {1}{2} \times \frac {1}{2}$.
Now we can easily see that each of them get 1/4 piece of the whole pizza actually.So
$\frac {1}{2} \; of \; \frac {1}{2} = \frac {1}{2} \times \frac {1}{2} = \frac {1}{4}$.
Here we can see that Multiplying fraction is simply acheived by
$Multiplying \; Fractions= \frac {products \; of \; numerator}{products \; of \; denominators}$
$\frac {1}{2} \times \frac {1}{2} = \frac { 1 \times 1 }{2 \times 2} = \frac {1}{4}$
$\frac {1}{3} \times \frac {1}{2} = \frac { 1 \times 1 }{3 \times 2} = \frac {1}{6}$
$\frac {2}{3} \times \frac {1}{2} = \frac { 2 \times 1 }{3 \times 2} = \frac {2}{6} = \frac {1}{3}$
$\frac {2}{3} \times \frac {3}{4} = \frac { 2 \times 3 }{3 \times 4} = \frac {6}{12} = \frac {1}{2}$ 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.
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.
Checkout Multiplying Fractions calculator
