Question

What is the difference of 5 1/5 - 2 3/5

Answer 1

`5 (1)/(5) - 2 (3)/(5) \\ \\ (5 * 5 + 1)/(5) - 2(3)/(5) \ / \ convert \ to \ improper \ fraction \\ \\ (25+1)/(5) - 2 (3)/(5) \ / \ simplify \\ \\ (26)/(5) - 2 (3)/(5) \ / \ simplify \\ \\ (26)/(5) - (2 * 5 + 3)/(5) \ / \ convert \ to \ improper \ fraction \\ \\ (26)/(5) - (10+3)/(5) \ / \ simplify \\ \\ (26)/(5) - (13)/(5) \ / \ simplify \\ \\ (26-13)/(5) \ / \ combine \ denominators \\ \\ (13)/(5) \ / \ simplify \\ \\`

The final result is 13/5 or 2.6.

Answer 2

`5(1)/(5) -2(3)/(5)=((5*5)+1)/(5) -((2*5)+3)/(5) =(25+1)/(5) -(10+3)/(5) =(26)/(5) -(13)/(5) =(26-13)/(5) =(13)/(5)\\\\ =\boxed{\bf{2\frac{3}5}}}`

The difference of 5 1/5 and 2 3/5 is 2 3/5.