1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4
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.
To calculate the expression 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4, we can follow these steps:
Step 1: Start with the first term, 1/4.
1/4
Step 2: Subtract the second term, 0.5.
1/4 - 0.5 = -1/4
Step 3: Add the third term, 1/2.
-1/4 + 1/2 = 3/4
Step 4: Subtract the fourth term, 0.25.
3/4 - 0.25 = 1/2
Step 5: Add the fifth term, 3/5.
1/2 + 3/5 = 11/10
Step 6: Add the sixth term, 0.4.
11/10 + 0.4 = 1.5
Therefore, the expression 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4 equals 1.5.
To solve the arithmetic expression 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4, we need to perform addition and subtraction operations in the correct order.
First, let's simplify the expression by adding and subtracting the fractions separately from the decimals.
1/4 + 1/2 + 3/5 = (1 * 5 + 2 * 2 + 3 * 4) / (4 * 2 * 5) = (5 + 4 + 12) / 40 = 21 / 40
Now, let's add the fractions to the sum we obtained:
0.4 + 21/40 = (40 * 0.4 + 21) / 40 = (16 + 21) / 40 = 37/40
Finally, we subtract the decimal from the fraction:
37/40 - 0.5 = (37 - 20) / 40 = 17/40
Therefore, the result of the expression 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4 is 17/40.