In this we will learning How to divide the fractions, how to divide fractions with whole numbers and various other thing related to division
Division of Whole Number by a Fraction
Division of Whole Number by a Fraction can be understood by below example
$1 \div \frac {1}{2}$
This can be understood as we have 1 full pizza and we divide into two equal piece. The above division can be understood as how many 1/2 part can be obtained from 1 whole. Obviously it is 2 ,So
$1 \div \frac {1}{2} = 2$
or
$1 \div \times \frac {2}{1} = 2$
The conversion of $\frac {1}{2}$ to $\frac {2}{1}$ is called reciprocal of fraction. $\frac {2}{1}$ is called the reciprocal of fraction $\frac {1}{2}$.
Few examples on reciprocal of fraction
Now We can simplify multiply the whole number with reciprocal fractions .If the results is improper fraction, you can convert into mixed fraction if required.
we have already see the division of fraction by whole number.Let us understand How to divide fraction by a fraction.
$ \frac {1}{5} \div \frac {5}{6}= \frac {1}{5} \times \frac {6}{5} = \frac {6}{25}$
Here we can see that dividing fraction is simply acheived by .This same steps applies for how to divide mixed fractions
if we have mixed fraction, first convert into improper fraction
Now obtain the reciprocal of the fraction which is the divisor
Now We can simplify multiply both the fractions .If the results is improper fraction, you can convert into mixed fraction if required.