1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4

Answer 1

To simplify the expression, we need to first find a common denominator for the fractions. In this case, the common denominator is 20.

1/4 can be written as 5/20
1/2 is already in the form we need it (10/20)
3/5 can be written as 12/20

Now the expression becomes:

5/20 - 0.5 + 10/20 - 0.25 + 12/20 + 0.4

Next, combine the like terms:

5/20 + 10/20 + 12/20 - 0.5 - 0.25 + 0.4

Adding the numerators, we get:

(5 + 10 + 12)/20 - 0.5 - 0.25 + 0.4

27/20 - 0.5 - 0.25 + 0.4

Now, let's add the decimal values:

27/20 - 0.5 - 0.25 + 0.4 = 1.35 - 0.5 - 0.25 + 0.4

Finally, subtract the decimal values:

1.35 - 0.5 - 0.25 + 0.4 = 1.0 - 0.25 + 0.4 = 0.75 + 0.4 = 1.15

So, 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4 = 1.15.