Question 682970
{{{(4 (1/5)) -(1 (1/2))}}}

convert the mixed fraction into a simple fraction

{{{((5*4+1)/5) -((2*1+1)/2)}}}



{{{(21/5) -(3/2)}}}

We have to equalize the denominator to enable us to add or subtract the numerators of the two fractions.

the denominators of the fractions are 5 &2
multiply both of them we get 10

This will be the common denominator

5 times 2 is 10

so multiply the numerator and denominator of first fraction by 2
2 times 5 is 10

& multiply and divide the second fraction by 5 to get 10 denominator

{{{(21/5)*(2/2)-(3/2)(5/5)}}}

{{{(42/10)-(15/10)}}}

Since the denominators are same we can subtract  the numerators.

{{{(42-15)/10}}}

{{{(27/10)}}}

There you are!