1/4− 0.5 + 1/2− 0.25 + 3/5+ 0.4 Find the sum.
To find the sum of these fractions and decimals, we need to combine like terms. First, let's work with the fractions:
1/4 + 1/2 + 3/5
To add fractions, we need to have a common denominator. In this case, the common denominator for 4, 2, and 5 is 20. We can convert each fraction to have a denominator of 20:
(1/4) x (5/5) = 5/20
(1/2) x (10/10) = 10/20
(3/5) x (4/4) = 12/20
Now we can add these fractions:
5/20 + 10/20 + 12/20 = 27/20
Next, let's work with the decimals:
-0.5 - 0.25 + 0.4
Simply add the decimals:
-0.5 - 0.25 + 0.4 = -0.35
Now we can add the fractions and decimals:
27/20 + (-0.35)
To add fractions and decimals, we need to convert one of them to the same representation as the other. Let's convert the fraction to a decimal:
27/20 = 1.35
Now we have:
1.35 + (-0.35) = 1
Therefore, the sum of the given fractions and decimals is 1.
To find the sum of these fractions and decimals, we can start by first adding the like terms together.
1/4 − 0.5 + 1/2 − 0.25 + 3/5 + 0.4
First, let's convert the decimals to fractions:
0.5 = 1/2
0.25 = 1/4
0.4 = 4/10 = 2/5
Now, let's rewrite the expression:
1/4 − 1/2 + 1/2 − 1/4 + 3/5 + 2/5
Next, let's add the fractions:
(1/4 − 1/4) + (3/5 + 2/5)
0 + 5/5
Simplifying further:
0/1 + 5/5
0 + 1
Finally:
1
So, the sum of the given fractions and decimals is 1.
To find the sum, we need to add all the given numbers.
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 least common denominator (LCD) is 20.
Converting each fraction to have a denominator of 20:
1/4 = 5/20
1/2 = 10/20
3/5 = 12/20
Now adding the fractions:
5/20 - 0.5 + 10/20 - 0.25 + 12/20 + 0.4
Combining the like terms:
(5/20 + 10/20 + 12/20) - 0.5 - 0.25 + 0.4
Adding the fractions:
27/20 - 0.5 - 0.25 + 0.4
Combining the decimals:
27/20 - 0.75 + 0.4
Since 27/20 is an improper fraction, we can convert it to a mixed number:
27/20 = 1 7/20
Now adding the numbers:
1 7/20 - 0.75 + 0.4
Converting the mixed number to an improper fraction:
1 7/20 = (1 * 20 + 7)/20 = 27/20
Substituting 27/20 into the equation:
27/20 - 0.75 + 0.4
Now subtracting and adding the decimals:
27/20 - 0.75 + 0.4 = 27/20 - 3/4 + 2/5
Finding the LCD, which is 20:
27/20 - 15/20 + 8/20 = (27 - 15 + 8)/20
Simplifying the numerators:
(27 - 15 + 8)/20 = 20/20
The sum is 20/20, which is equal to 1.
Evaluate this expression.
42.86 − 23.42
To evaluate the expression 42.86 - 23.42, simply subtract 23.42 from 42.86:
42.86 - 23.42 = 19.44
Therefore, the value of the expression is 19.44.
Evaluate this expression.
75.5 − 32.55
To evaluate the expression 75.5 - 32.55, simply subtract 32.55 from 75.5:
75.5 - 32.55 = 42.95
Therefore, the value of the expression is 42.95.