To simplify the expression, let's start by distributing the 14 to both terms inside the parentheses:
1/2(x + 4) + 14(4x - 2)
= 1/2 * x + 1/2 * 4 + 14 * 4x - 14 * 2
= 1/2 * x + 2/2 + 56x - 28
Combining like terms, we have:
= 1/2 * x + 56x - 26
Now, let's find a common denominator to rewrite the expression:
= (1/2 * x + 56x - 26) * 2/2
= (x/2 + 112x - 52)/2
Lastly, let's simplify the expression by dividing each term by 2:
= x/4 + 56x/2 - 52/2
= x/4 + 28x - 26
Therefore, the simplified expression in mixed number form is: x/4 + 28x - 26.
Add: 1/2(x+4)+14(4x−2) . Answer should be in mixed number form
5 answers
are you sure
Apologies for the mistake. Let's simplify the expression correctly:
1/2(x + 4) + 14(4x - 2)
= 1/2 * x + 1/2 * 4 + 14 * 4x - 14 * 2
= 1/2 * x + 2/2 + 56x - 28
= 1/2 * x + 56x - 26
To convert the expression into mixed number form, we need to find a common denominator for the fractions. The common denominator is 2. Then, we can rewrite the expression as follows:
= (1/2 * x + 56x - 26) * 2/2
= (x/2 + 112x/2 - 26) * 2/2
= (x + 112x - 26)/2
In mixed number form, the expression is:
= (113x - 26)/2
1/2(x + 4) + 14(4x - 2)
= 1/2 * x + 1/2 * 4 + 14 * 4x - 14 * 2
= 1/2 * x + 2/2 + 56x - 28
= 1/2 * x + 56x - 26
To convert the expression into mixed number form, we need to find a common denominator for the fractions. The common denominator is 2. Then, we can rewrite the expression as follows:
= (1/2 * x + 56x - 26) * 2/2
= (x/2 + 112x/2 - 26) * 2/2
= (x + 112x - 26)/2
In mixed number form, the expression is:
= (113x - 26)/2
wrong
Apologies for the mistake. Let's simplify the expression correctly:
1/2(x + 4) + 14(4x - 2)
First, let's distribute 1/2 to (x + 4):
(1/2)(x + 4) + 14(4x - 2)
= (1/2)x + (1/2)4 + 14(4x - 2)
= (1/2)x + 2 + 14(4x - 2)
= (1/2)x + 2 + 56x - 28
Next, let's combine like terms:
= (1/2)x + 56x - 26
To convert the expression into mixed number form, we need to find a common denominator for the fractions. The common denominator is 2. Then, we can rewrite the expression as follows:
= (1/2)x + (112x/2) - (26/2)
= (1/2)x + (112x - 26)/2
In mixed number form, the expression is:
= (x/2) + (112x - 26)/2
Therefore, the simplified expression in mixed number form is: (x/2) + (112x - 26)/2.
1/2(x + 4) + 14(4x - 2)
First, let's distribute 1/2 to (x + 4):
(1/2)(x + 4) + 14(4x - 2)
= (1/2)x + (1/2)4 + 14(4x - 2)
= (1/2)x + 2 + 14(4x - 2)
= (1/2)x + 2 + 56x - 28
Next, let's combine like terms:
= (1/2)x + 56x - 26
To convert the expression into mixed number form, we need to find a common denominator for the fractions. The common denominator is 2. Then, we can rewrite the expression as follows:
= (1/2)x + (112x/2) - (26/2)
= (1/2)x + (112x - 26)/2
In mixed number form, the expression is:
= (x/2) + (112x - 26)/2
Therefore, the simplified expression in mixed number form is: (x/2) + (112x - 26)/2.