To simplify the expression, we first need to distribute the fractions:
1/2(x + 4) + 1/4(4x - 2)
= (1/2)(x) + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= 1/2x + 2/2 + 4/4x - 2/4
Next, we need to simplify the fractions:
= 1/2x + 1 + x - 1/2
Now, we combine like terms:
= 1/2x + x + 1 - 1/2
= 3/2x + 1/2
So, the answer in mixed number form is 1 1/2.
Add 1/2(x+4) + 1/4(4x−2) . Answer should be in mixed number form.
23 answers
wrong
Apologies for the mistake. Let's correct it.
To simplify the expression, we can start by finding a common denominator for the fractions:
1/2(x + 4) + 1/4(4x - 2)
= (2/4)(x + 4) + (1/4)(4x - 2)
= (2x + 8)/4 + (4x - 2)/4
Now, we can combine the fractions:
= (2x + 8 + 4x - 2)/4
= (6x + 6)/4
Next, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= (3x + 3)/2
So, the simplified expression in mixed number form is 1 1/2.
To simplify the expression, we can start by finding a common denominator for the fractions:
1/2(x + 4) + 1/4(4x - 2)
= (2/4)(x + 4) + (1/4)(4x - 2)
= (2x + 8)/4 + (4x - 2)/4
Now, we can combine the fractions:
= (2x + 8 + 4x - 2)/4
= (6x + 6)/4
Next, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= (3x + 3)/2
So, the simplified expression in mixed number form is 1 1/2.
its wrong
Apologies for the error. Let's correct it again.
1/2(x + 4) + 1/4(4x - 2)
= (x/2 + 4/2) + (4x/4 - 2/4)
= (x/2 + 2) + (x - 1/2)
Now, we can combine like terms:
= x/2 + x + 2 - 1/2
= (2x + 2 + 2 - 1)/2
= (2x + 3)/2
So, the simplified expression in mixed number form is (2x + 3)/2.
1/2(x + 4) + 1/4(4x - 2)
= (x/2 + 4/2) + (4x/4 - 2/4)
= (x/2 + 2) + (x - 1/2)
Now, we can combine like terms:
= x/2 + x + 2 - 1/2
= (2x + 2 + 2 - 1)/2
= (2x + 3)/2
So, the simplified expression in mixed number form is (2x + 3)/2.
not it
Apologies for the confusion. Let's solve it step by step again:
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)x + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= (1/2)x + 2/2 + (4/4)x - 2/4
= (1/2)x + 1 + x - 1/2
Combine like terms:
= x/2 + 1 + x - 1/2
Now, find a common denominator, which is 2:
= (2x/4) + (4/4) + (4x/4) - (1/2)
Combine the fractions:
= (2x + 4 + 4x - 2)/4
= (6x + 2)/4
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= (3x + 1)/2
So, the simplified expression in mixed number form is (3x + 1)/2.
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)x + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= (1/2)x + 2/2 + (4/4)x - 2/4
= (1/2)x + 1 + x - 1/2
Combine like terms:
= x/2 + 1 + x - 1/2
Now, find a common denominator, which is 2:
= (2x/4) + (4/4) + (4x/4) - (1/2)
Combine the fractions:
= (2x + 4 + 4x - 2)/4
= (6x + 2)/4
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= (3x + 1)/2
So, the simplified expression in mixed number form is (3x + 1)/2.
can you give me all the possible answers?
Certainly! The expression 1/2(x+4) + 1/4(4x−2) can be simplified to:
1/2(x+4) + 1/4(4x−2) = (3x + 1)/2
Therefore, the possible answers in mixed number form are:
1. (3x + 1)/2
1/2(x+4) + 1/4(4x−2) = (3x + 1)/2
Therefore, the possible answers in mixed number form are:
1. (3x + 1)/2
its not right
Apologies for the confusion. Let's solve it step by step again:
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)x + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= (1/2)x + 2/2 + (4/4)x - 2/4
= (1/2)x + 1 + x - 1/2
Combine like terms:
= x/2 + 1 + x - 1/2
Now, find a common denominator, which is 2:
= (2x/4) + (4/4) + (4x/4) - (1/2)
Combine the fractions:
= (2x + 4 + 4x - 2)/4
= (6x + 2)/4
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= (3x + 1)/2
So, the simplified expression in mixed number form is (3x + 1)/2.
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)x + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= (1/2)x + 2/2 + (4/4)x - 2/4
= (1/2)x + 1 + x - 1/2
Combine like terms:
= x/2 + 1 + x - 1/2
Now, find a common denominator, which is 2:
= (2x/4) + (4/4) + (4x/4) - (1/2)
Combine the fractions:
= (2x + 4 + 4x - 2)/4
= (6x + 2)/4
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= (3x + 1)/2
So, the simplified expression in mixed number form is (3x + 1)/2.
(3x + 1)/2 isnt the answer
Apologies for the mistake. Let's try solving it again:
1/2(x + 4) + 1/4(4x − 2)
= (1/2)(x) + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= x/2 + 2/2 + 4x/4 - 2/4
= x/2 + 1 + x - 1/2
Combine like terms:
= (x + 2 + 2x - 1)/2
= (3x + 1)/2
So, the simplified expression in mixed number form is (3x + 1)/2.
1/2(x + 4) + 1/4(4x − 2)
= (1/2)(x) + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= x/2 + 2/2 + 4x/4 - 2/4
= x/2 + 1 + x - 1/2
Combine like terms:
= (x + 2 + 2x - 1)/2
= (3x + 1)/2
So, the simplified expression in mixed number form is (3x + 1)/2.
geez
Apologies for the previous incorrect responses. Let's solve it again:
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)x + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= (1/2)x + 2/2 + 4x/4 - 2/4
= (1/2)x + 1 + x/1 - 1/2
Combine like terms:
= (x + 2 + x - 1)/2
= (2x + 1)/2
Now, we can express this fraction in mixed number form. To do that, we divide the numerator by the denominator:
= (2x + 1) ÷ 2
= 2x ÷ 2 + 1 ÷ 2
= x + 1/2
So, the simplified expression in mixed number form is x + 1/2.
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)x + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= (1/2)x + 2/2 + 4x/4 - 2/4
= (1/2)x + 1 + x/1 - 1/2
Combine like terms:
= (x + 2 + x - 1)/2
= (2x + 1)/2
Now, we can express this fraction in mixed number form. To do that, we divide the numerator by the denominator:
= (2x + 1) ÷ 2
= 2x ÷ 2 + 1 ÷ 2
= x + 1/2
So, the simplified expression in mixed number form is x + 1/2.
no
Apologies for the confusion. Let's solve it correctly.
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)x + 2/2 + (1/4)4x - (1/4)2
= x/2 + 2/2 + 4x/4 - 2/4
Combine like terms:
= x/2 + 1 + x - 1/2
Next, find a common denominator, which is 2:
= (2x/4) + (4/4) + (4x/4) - (1/2)
Combine the fractions:
= (2x + 4 + 4x - 2)/4
= (6x + 2)/4
Now, we can simplify by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= (3x + 1)/2
So, the correct simplified expression in mixed number form is (3x + 1)/2.
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)x + 2/2 + (1/4)4x - (1/4)2
= x/2 + 2/2 + 4x/4 - 2/4
Combine like terms:
= x/2 + 1 + x - 1/2
Next, find a common denominator, which is 2:
= (2x/4) + (4/4) + (4x/4) - (1/2)
Combine the fractions:
= (2x + 4 + 4x - 2)/4
= (6x + 2)/4
Now, we can simplify by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= (3x + 1)/2
So, the correct simplified expression in mixed number form is (3x + 1)/2.
...
I apologize for my previous incorrect responses. Let's solve it correctly this time.
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)(x) + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= (1/2)x + 2/2 + (4/4)x - (2/4)
= (1/2)x + 1 + x - (1/2)
Now, let's combine like terms:
= (1/2)x + x + 1 - (1/2)
= (3/2)x + 1 - (1/2)
To make the denominators the same, we can rewrite 1 as 2/2:
= (3/2)x + 2/2 - (1/2)
Now, combine the fractions:
= (3/2)x + 2/2 - 1/2
= (3/2)x + 1/2
Thus, the simplified expression in mixed number form is 1/2 + (3/2)x.
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)(x) + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= (1/2)x + 2/2 + (4/4)x - (2/4)
= (1/2)x + 1 + x - (1/2)
Now, let's combine like terms:
= (1/2)x + x + 1 - (1/2)
= (3/2)x + 1 - (1/2)
To make the denominators the same, we can rewrite 1 as 2/2:
= (3/2)x + 2/2 - (1/2)
Now, combine the fractions:
= (3/2)x + 2/2 - 1/2
= (3/2)x + 1/2
Thus, the simplified expression in mixed number form is 1/2 + (3/2)x.
nope
Apologies for the confusion. Let's try solving it again:
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)x + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= x/2 + 2/2 + 4x/4 - 2/4
= x/2 + 1 + x - 1/2
Combine like terms:
= x/2 + x + 1 - 1/2
To add the fractions, we need a common denominator, which is 2:
= (x + 2x + 2 - 1)/2
= (3x + 1)/2
So, the simplified expression in mixed number form is (3x + 1)/2.
1/2(x + 4) + 1/4(4x - 2)
First, distribute the fractions:
= (1/2)x + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= x/2 + 2/2 + 4x/4 - 2/4
= x/2 + 1 + x - 1/2
Combine like terms:
= x/2 + x + 1 - 1/2
To add the fractions, we need a common denominator, which is 2:
= (x + 2x + 2 - 1)/2
= (3x + 1)/2
So, the simplified expression in mixed number form is (3x + 1)/2.
crying
I apologize if my previous responses were confusing or incorrect. I understand that it can be frustrating.
The correct solution to the given expression is:
1/2(x + 4) + 1/4(4x - 2)
= (1/2)(x) + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= x/2 + 2/2 + 4x/4 - 2/4
= x/2 + 1 + x - 1/2
Now, let's combine like terms:
= x/2 + 1 + x - 1/2
To make the denominators the same, we can rewrite 1 as 2/2:
= x/2 + x + 1 - 1/2
= (x + 2x + 2 - 1)/2
= (3x + 1)/2
So, the simplified expression in mixed number form is (3x + 1)/2.
If you have any further questions or need clarification, please let me know and I'll be glad to assist you.
The correct solution to the given expression is:
1/2(x + 4) + 1/4(4x - 2)
= (1/2)(x) + (1/2)(4) + (1/4)(4x) - (1/4)(2)
= x/2 + 2/2 + 4x/4 - 2/4
= x/2 + 1 + x - 1/2
Now, let's combine like terms:
= x/2 + 1 + x - 1/2
To make the denominators the same, we can rewrite 1 as 2/2:
= x/2 + x + 1 - 1/2
= (x + 2x + 2 - 1)/2
= (3x + 1)/2
So, the simplified expression in mixed number form is (3x + 1)/2.
If you have any further questions or need clarification, please let me know and I'll be glad to assist you.