Evaluate 4 1/2 − 2− 5 2/3
To evaluate 4 1/2 - 2 - 5 2/3, we need to simplify the expression step by step.
First, let's convert the mixed numbers into improper fractions:
4 1/2 = (4 * 2 + 1) / 2 = 9 / 2
5 2/3 = (5 * 3 + 2) / 3 = 17 / 3
Now, the expression becomes:
9/2 - 2 - 17/3
Before we continue, let's find a common denominator for the fractions. The least common multiple of 2 and 3 is 6.
The expression then becomes:
(9 * 3) / (2 * 3) - (2 * 3) / (1 * 3) - (17 * 2) / (3 * 2)
= 27/6 - 6/6 - 34/6
Now, we can combine the fractions:
27/6 - 6/6 - 34/6 = (27 - 6 - 34) / 6
= -13/6
Therefore, 4 1/2 - 2 - 5 2/3 is equal to -13/6.
42.86 − 23.42
To subtract 23.42 from 42.86, we align the decimal points and subtract the corresponding places:
42.86
- 23.42
--------
19.44
Therefore, 42.86 - 23.42 is equal to 19.44.
Determine the value of the expression –5.45 + 4.12 –8.66.
To determine the value of the expression –5.45 + 4.12 –8.66, we need to add and subtract the given numbers, following the order of operations (addition and subtraction from left to right).
Starting with the first addition, -5.45 + 4.12, we align the decimal points and add the corresponding places:
-5.45
+ 4.12
--------
-1.33
Next, we subtract 8.66 from the result:
-1.33
- 8.66
--------
-10.99
Therefore, the value of the expression –5.45 + 4.12 –8.66 is -10.99.
Simplify.
7.829 − 3.21
To simplify 7.829 - 3.21, we align the decimal points and subtract the corresponding places:
7.829
- 3.21
------
4.619
Therefore, 7.829 - 3.21 simplifies to 4.619.
1/2 − (−3/4)
To simplify 1/2 - (-3/4), we need to change the subtraction of a negative fraction into addition. We can do this by multiplying the second fraction by -1:
1/2 + 3/4
Now, we need to find a common denominator for the fractions. The least common multiple of 2 and 4 is 4.
1/2 + 3/4 = (1 * 2) / (2 * 2) + (3 * 1) / (4 * 1)
= 2/4 + 3/4
Now that the fractions have a common denominator, we can combine them:
2/4 + 3/4 = (2 + 3) / 4
= 5/4
Therefore, 1/2 - (-3/4) simplifies to 5/4, which can also be expressed as 1 1/4.
14
− 0.5 + 12
− 0.25 + 35
+ 0.4
To simplify the given expression step by step:
First, we add 14 and -0.5 together:
14 - 0.5 = 13.5
Next, we add 13.5 and 12 together:
13.5 + 12 = 25.5
Then, we add 25.5 and -0.25 together:
25.5 - 0.25 = 25.25
Finally, we add 25.25 and 35 together:
25.25 + 35 = 60.25
Therefore, the value of the expression 14 - 0.5 + 12 - 0.25 + 35 + 0.4 is 60.25.
1/4
− 0.5 + 1/2
− 0.25 + 3/5
+ 0.4
To simplify the given expression step by step:
First, we add 1/4 and -0.5 together:
1/4 - 0.5 = -1/4
Next, we add -1/4 and 1/2 together:
-1/4 + 1/2 = 1/4
Then, we add 1/4 and -0.25 together:
1/4 - 0.25 = -1/20
Finally, we add -1/20 and 3/5 together:
-1/20 + 3/5 = 7/20
Finally, we add 7/20 and 0.4 together:
7/20 + 0.4 = 23/20
Therefore, the value of the expression 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4 is 23/20.