Question 346980
2,(2)/(5)*4

Convert the mixed number to an improper fraction by adding the whole number portion to the fractional portion.
2+(2)/(5)*4

To add fractions, the denominators must be equal.  The denominators can be made equal by finding the least common denominator (LCD).  In this case, the LCD is 5.  Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
2*(5)/(5)+(2)/(5)*4

Complete the multiplication to produce a denominator of 5 in each expression.
(10)/(5)+(2)/(5)*4

Combine the numerators of all fractions that have common denominators.
(10+2)/(5)*4

Add 2 to 10 to get 12.
(12)/(5)*4

Multiply (12)/(5) by 4 to get (48)/(5).
(48)/(5)

or 9 3/5