mixed numbers and improper fractions

1) what is the improper fraction ?
is a fractions whose numerator is larger than its denominator for example

2) what is the mixed number ?
a mixed number consist of the sum of whole number and a fraction. for example

now we will writing the mixed number as an improper fraction
1)to convert a mixed number  into an improper fraction, we multiply the
whole number by the fraction’s denominator and then add this to the numerator.
The sum is the new numerator.

the rule is
 
2) by another method