1/4 -0.5+1/2 -0.25+3/5+0.4 what expression should be used
The expression that should be used to calculate the sum of the given fractions and numbers is:
1/4 + (-0.5) + 1/2 + (-0.25) + 3/5 + (0.4)
To simplify the given expression, you can start by combining the like terms.
The expression 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4 can be rewritten as:
(1/4 + 1/2 + 3/5) - (0.5 + 0.25) + 0.4
Now, let's work on simplifying the terms:
To add fractions, you need to have a common denominator. In this case, the common denominator for 1/4, 1/2, and 3/5 is 20.
So, we have:
(1/4 * 5/5 + 1/2 * 10/10 + 3/5 * 4/4) - (0.5 + 0.25) + 0.4
Simplifying further:
(5/20 + 10/20 + 12/20) - 0.75 + 0.4
Now, combine the fractions:
(27/20) - 0.75 + 0.4
To simplify further, you can convert the mixed numbers into fractions:
27/20 - 3/4 + 2/5
To add or subtract fractions, you need to have a common denominator. In this case, the common denominator for 20, 4, and 5 is 20.
So, we have:
(27/20 * 1/1) - (3/4 * 5/5) + (2/5 * 4/4)
Simplifying further:
(27/20) - (15/20) + (8/20)
Now, combine the fractions:
(27 - 15 + 8)/20
Simplifying further:
20/20
Finally, simplify the expression:
1
Therefore, the simplified expression for 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4 is 1.
To simplify the given expression, we can add and subtract the fractions and decimals separately. Let's break down the expression step by step:
1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4
First, let's focus on the fractions:
1/4 + 1/2 + 3/5
To add fractions, we need to have a common denominator. To find the common denominator, we calculate the least common multiple (LCM) of the denominators.
The prime factors for the denominators are:
4 = 2^2
2 = 2
5 = 5
To find the LCM, we use the highest power of each prime factor:
LCM = 2^2 * 5 = 20
Now, we rewrite the fractions with the common denominator of 20:
(1/4) * (5/5) + (1/2) * (10/10) + (3/5) * (4/4)
= 5/20 + 10/20 + 12/20
Next, we add the fractions together:
5/20 + 10/20 + 12/20 = (5 + 10 + 12)/20 = 27/20
Now, let's focus on the decimals:
-0.5 - 0.25 + 0.4
To add decimals, we simply add them like regular numbers:
-0.5 - 0.25 + 0.4 = -0.75 + 0.4 = -0.35
Now that we have the sum of the fractions (27/20) and the sum of the decimals (-0.35), we can combine them:
27/20 + (-0.35)
To add fractions and decimals, we need to convert the fraction into a decimal or vice versa. In this case, we will convert the fraction to a decimal.
Converting 27/20 to a decimal:
27 ÷ 20 ≈ 1.35 (rounded to two decimal places)
Now, we can rewrite the expression:
1.35 + (-0.35)
Finally, we add the decimals together:
1.35 + (-0.35) = 1 (rounded to two decimal places)
Therefore, the expression simplifies to 1.