To find the sum of 1/2(x+4) + 1/4(4x-2), we first simplify each term separately:
1/2(x+4) = (1/2) * x + (1/2) * 4 = 1/2 * x + 2
1/4(4x-2) = (1/4) * 4x - (1/4) * 2 = x - 1/2
Now, we can add the simplified terms:
(1/2 * x + 2) + (x - 1/2) = (1/2 + 1) * x + (2 - 1/2) = (3/2) * x + (3/2) = 3/2x + 3/2
Since 3/2 can be written as a mixed number, we divide 3 by 2:
3 ÷ 2 = 1 remainder 1
Hence, the sum 3/2x + 3/2 can be written as the mixed number 1 1/2.
1/2(x+4)+1/4(4x-2) with the answer as a mixed number
5 answers
wrong
Apologies for the mistake. Let's correct it:
To find the sum of 1/2(x+4) + 1/4(4x-2), we first simplify each term separately:
1/2(x+4) = (1/2) * x + (1/2) * 4 = 1/2 * x + 2
1/4(4x-2) = (1/4) * 4x - (1/4) * 2 = x - 1/2
Now let's add the simplified terms:
(1/2 * x + 2) + (x - 1/2) = (1/2) * x + x + 2 - (1/2) = (3/2) * x + 2 - (1/2)
To simplify further, we need to find a common denominator for 2 and 1/2, which is 2:
(3/2) * x + 2 - (1/2) = (3/2) * x + 4/2 - 1/2
Now, we can add the numerators since they have the same denominator:
(3/2) * x + 4/2 - 1/2 = (3/2) * x + (4-1)/2 = (3/2) * x + 3/2
Since the coefficients have the same denominator, we can combine them:
(3/2) * x + 3/2 = (3x + 3) / 2
Therefore, the sum 1/2(x+4) + 1/4(4x-2) is equal to (3x + 3) / 2, which cannot be written as a mixed number.
To find the sum of 1/2(x+4) + 1/4(4x-2), we first simplify each term separately:
1/2(x+4) = (1/2) * x + (1/2) * 4 = 1/2 * x + 2
1/4(4x-2) = (1/4) * 4x - (1/4) * 2 = x - 1/2
Now let's add the simplified terms:
(1/2 * x + 2) + (x - 1/2) = (1/2) * x + x + 2 - (1/2) = (3/2) * x + 2 - (1/2)
To simplify further, we need to find a common denominator for 2 and 1/2, which is 2:
(3/2) * x + 2 - (1/2) = (3/2) * x + 4/2 - 1/2
Now, we can add the numerators since they have the same denominator:
(3/2) * x + 4/2 - 1/2 = (3/2) * x + (4-1)/2 = (3/2) * x + 3/2
Since the coefficients have the same denominator, we can combine them:
(3/2) * x + 3/2 = (3x + 3) / 2
Therefore, the sum 1/2(x+4) + 1/4(4x-2) is equal to (3x + 3) / 2, which cannot be written as a mixed number.
Add: 1/2(x+4)+1/4(4x−2) . Answer should be in mixed number form.
To add 1/2(x+4) + 1/4(4x−2), we need to first simplify the expressions:
1/2(x+4) = 1/2x + (1/2)(4) = 1/2x + 2
1/4(4x−2) = (1/4)(4x) - (1/4)(2) = x - 1/2
Now, we can add the simplified expressions:
(1/2x + 2) + (x - 1/2) = 1/2x + x + 2 - 1/2 = (3/2)x + 2 - 1/2
To simplify further, we need to find a common denominator for 2 and 1/2, which is 2:
(3/2)x + 2 - 1/2 = (3/2)x + 4/2 - 1/2
Now, we can add the numerators since they have the same denominator:
(3/2)x + 4/2 - 1/2 = (3/2)x + (4-1)/2 = (3/2)x + 3/2
Since the coefficients have the same denominator, we can combine them:
(3/2)x + 3/2 = (3x + 3) / 2
We have the sum (3x + 3) / 2. To express the answer in mixed number form, we divide the numerator by the denominator:
3x + 3 divided by 2.
Let's say 3x + 3 = 3x + 3(2)/2:
(3x + 3(2))/2 = (3x + 6)/2
Now, we can express it as a mixed number. We divide 3x + 6 by 2:
(3x + 6) ÷ 2 = 1 remainder (3x)/2
Hence, the sum 1/2(x+4) + 1/4(4x−2) can be expressed as the mixed number 1 + (3x)/2.
1/2(x+4) = 1/2x + (1/2)(4) = 1/2x + 2
1/4(4x−2) = (1/4)(4x) - (1/4)(2) = x - 1/2
Now, we can add the simplified expressions:
(1/2x + 2) + (x - 1/2) = 1/2x + x + 2 - 1/2 = (3/2)x + 2 - 1/2
To simplify further, we need to find a common denominator for 2 and 1/2, which is 2:
(3/2)x + 2 - 1/2 = (3/2)x + 4/2 - 1/2
Now, we can add the numerators since they have the same denominator:
(3/2)x + 4/2 - 1/2 = (3/2)x + (4-1)/2 = (3/2)x + 3/2
Since the coefficients have the same denominator, we can combine them:
(3/2)x + 3/2 = (3x + 3) / 2
We have the sum (3x + 3) / 2. To express the answer in mixed number form, we divide the numerator by the denominator:
3x + 3 divided by 2.
Let's say 3x + 3 = 3x + 3(2)/2:
(3x + 3(2))/2 = (3x + 6)/2
Now, we can express it as a mixed number. We divide 3x + 6 by 2:
(3x + 6) ÷ 2 = 1 remainder (3x)/2
Hence, the sum 1/2(x+4) + 1/4(4x−2) can be expressed as the mixed number 1 + (3x)/2.