mixed numbers to improper fractions

Question

Can someone explain how to convert mixed numbers to improper fractions? for example

1 and 5/8

Answer 1

Given mixed fraction is

Therefore the improper fraction is

Answer 2

Mixed number is a combination of both whole number and a proper fraction.

1 5/8 = 1 + 5/8

=1/1 + 5/8 

To add the fractions denominators must be equal.

Rewrite the expression with common denominator

= 8/8 + 5/8

Since the deniminators are same add the numerators over the denominator.

=(8+5)/8

= 13/8