-2 4 over 2 +(3-5) 4 over 5
To solve this arithmetic expression, we will follow the order of operations:
- Simplify within parentheses:
(3-5) = -2
Now, the expression becomes:
-2 4/2 + (-2) 4/5
- Simplify the divisions:
4/2 = 2
4/5 cannot be simplified further.
Now, the expression becomes:
-2 2 + (-2) 4/5
- Perform multiplications:
(-2) 4 = -8
Now, the expression becomes:
-2 2 + (-8/5)
- Perform additions:
-2 + 2 = 0
Now, the expression becomes:
0 + (-8/5)
- Simplify the addition:
0 + (-8/5) = -8/5
Therefore, the final simplified expression is -8/5.
To solve the expression (-2)/(4/2) + ((3-5)/(4/5)), follow these steps:
Step 1: Simplify the expression inside the parentheses.
Start by simplifying (3-5) which is equal to -2.
Next, simplify (4/5) which cannot be simplified further.
Step 2: Simplify the expression (3-5)/(4/5).
Since (3-5) is equal to -2 and (4/5) cannot be simplified, the expression becomes (-2)/(4/5).
Step 3: Simplify the expression (-2)/(4/5).
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 4/5 is 5/4.
Multiply -2 by 5/4:
(-2) * (5/4) = -10/4.
Step 4: Simplify the expression (-10/4) + ((3-5)/(4/5)).
We already simplified (-2)/(4/5) to -10/4.
Now we have (-10/4) + ((3-5)/(4/5)).
The expression (3-5) simplifies to -2.
Substitute these values back into the expression to get -10/4 + (-2)/(4/5).
Step 5: Simplify the expression -10/4 + (-2)/(4/5).
Since the denominators are not the same, we need to find the common denominator.
The common denominator is 4/5.
Step 6: Convert the fractions with the common denominator.
Multiply -10/4 by 5/5:
(-10/4) * (5/5) = -50/20.
Multiply (-2)/(4/5) by 4/4:
(-2)/(4/5) * (4/4) = (-2 * 4)/(4/5) = (-8)/(4/5) = (-8) * (5/4) = -40/20.
Step 7: Add the fractions.
(-50/20) + (-40/20) = -90/20.
Step 8: Simplify the fraction -90/20.
The numerator and denominator have a common factor of 10.
Divide both the numerator and denominator by 10:
(-90/20) divided by 10 = -9/2.
So the final simplified expression is -9/2.
To simplify the expression -2 4 over 2 +(3-5) 4 over 5, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Step 1: Simplify any calculations within parentheses.
In this case, we have (3-5), which equals -2.
The expression now becomes:
-2 4 over 2 + -2 4 over 5
Step 2: Perform any multiplications or divisions from left to right.
Next, we simplify -2 4 over 2. To do this, we divide 4 by 2, which equals 2. Then we multiply 2 by -2, resulting in -4.
The expression is now:
-4 + -2 4 over 5
Step 3: Continue to perform any remaining multiplications or divisions from left to right.
Now, we simplify -2 4 over 5. Following the same process as before, we divide 4 by 5, resulting in 0.8. Then we multiply 0.8 by -2, resulting in -1.6.
The expression becomes:
-4 + -1.6
Step 4: Add or subtract from left to right.
Finally, we add -4 and -1.6 together, resulting in -5.6.
Therefore, the simplified expression is -5.6.