1/4
− 0.5 + 1/2
− 0.25 + 3/5
+ 0.4
1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4 = -0.25 + 0.5 - 0.25 + 0.6 + 0.4 = 0.6
thats wrong
Apologies for the mistake. Let's calculate it correctly:
1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 20.
(5/20) - (10/20) + (10/20) - (5/20) + (12/20) + (8/20)
Combining the fractions with the same denominator:
(5 - 10 + 10 - 5 + 12 + 8)/20
Now we can add the numerators:
(20)/20
And simplify:
1
So, 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4 = 1.
To solve the expression step-by-step, let's follow the order of operations:
Step 1: Perform addition/subtraction from left to right.
1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4
Step 2: Combine like terms.
= (1/4 + 1/2 + 3/5) - (0.5 + 0.25) + 0.4
Step 3: Convert the fractions to have a common denominator.
= (5/20 + 10/20 + 12/20) - (10/20 + 5/20) + 0.4
Step 4: Add the fractions with the same denominator.
= (27/20) - (15/20) + 0.4
Step 5: Subtract fractions.
= 12/20 + 0.4
Step 6: Convert the fraction to a decimal.
= 0.6 + 0.4
Step 7: Perform addition.
= 1.0 or 1
Therefore, the expression 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4 equals 1.
To solve this expression, we will add up the given fractions and decimal numbers.
Let's start by adding the fractions together:
1/4 + 1/2 + 3/5
To add these fractions, we need to find a common denominator. The common denominator for 4, 2, and 5 is 20.
Now, let's convert each fraction to have a denominator of 20:
1/4 = (1 * 5) / (4 * 5) = 5/20
1/2 = (1 * 10) / (2 * 10) = 10/20
3/5 = (3 * 4) / (5 * 4) = 12/20
Now that all three fractions have a common denominator of 20, we can add them together:
5/20 + 10/20 + 12/20 = (5 + 10 + 12) / 20 = 27/20
Next, let's add the decimal numbers:
-0.5 + (-0.25) + 0.4
To add these decimals, we simply sum up the values:
-0.5 + (-0.25) + 0.4 = -1.25 + 0.4 = -0.85
Finally, let's add the result of the fractions and the result of the decimals:
27/20 + (-0.85)
To add these together, we need to convert the fraction to a decimal. We divide the numerator by the denominator:
27/20 = 27 ÷ 20 ≈ 1.35
Now, we can add the decimal and the negative decimal:
1.35 + (-0.85) = 0.50
Therefore, the final result is 0.50.