1/2 (x+4) + 1/4 (4x - 2) MUST BE A MIXED NUMBER
To simplify the expression and write it as a mixed number, we can follow these steps:
1. Distribute the fractions:
1/2(x+4) = 1/2*x + 1/2*4 = 1/2x + 2/2 = 1/2x + 1
1/4(4x - 2) = 1/4*4x - 1/4*2 = 4/4x - 2/4 = x - 1/2
2. Combine the terms:
1/2x + 1 + x - 1/2 = (1/2x + x) + (1 - 1/2)
= (2/2x + 2x) + (2/2 - 1/2)
= (2x + 4x) + (2 - 1)/2
= 6x + 1/2
Since we want to write this as a mixed number, we divide 6x by 1/2:
(6x)/(1/2) = (6x)*(2/1) = 12x
So, the expression 1/2(x+4) + 1/4(4x - 2) as a mixed number is 12x + 1/2.
It has to be a mixed number
Apologies for the confusion. To write 1/2 (x+4) + 1/4 (4x - 2) as a mixed number, we need to find a common denominator for the fractions, which is 4.
1/2 (x+4) + 1/4 (4x - 2)
= (2/4)(x+4) + (1/4)(4x - 2)
= (2x+8)/4 + (4x-2)/4
= (2x+8+4x-2)/4
= (6x+6)/4
To express this as a mixed number, we divide the numerator by the denominator:
(6x+6) ÷ 4
This results in a quotient of 6x/4 = 3x/2 and a remainder of 6/4 = 3/2.
Therefore, 1/2 (x+4) + 1/4 (4x - 2) expressed as a mixed number is:
3x/2 + 3/2.
It was wrong
Apologies for the mistake. Let's try again.
1/2(x+4) + 1/4(4x - 2)
To simplify this expression, we need to find a common denominator for the fractions, which is 4.
1/2(x+4) + 1/4(4x - 2)
= (2/4)(x+4) + (1/4)(4x - 2)
= (2x+8)/4 + (4x-2)/4
= (2x+8+4x-2)/4
= (6x+6)/4
Since the denominator is 4, the mixed number representation would be:
(6x+6)/4 = (6x/4) + (6/4)
= (3x/2) + (3/2)
Therefore, the expression 1/2 (x+4) + 1/4 (4x - 2) as a mixed number is 3x/2 + 3/2.
Make 3x/2 + 3/2 into a mixed number please
To convert 3x/2 + 3/2 into a mixed number, we divide the numerator (3x + 3) by the denominator (2) and represent the result as a mixed number.
(3x + 3)/2 = (3x/2) + (3/2)
To convert 3x/2 to a mixed number, we divide the numerator (3x) by the denominator (2):
3x ÷ 2 = (3x/2)
To represent 3/2 as a mixed number, we divide the numerator (3) by the denominator (2):
3 ÷ 2 = 1 remainder 1
Therefore, the expression 3x/2 + 3/2 as a mixed number is:
(3x/2) + (3/2) = (3x/2) + (1 1/2) = 1 1/2 + (3x/2) = 1 + (3x/2) + 1/2 = 1 + 3x/2 + 1/2 = 1 + (3x + 1)/2.
So, the mixed number representation of 3x/2 + 3/2 is 1 + (3x + 1)/2.
That is still wrong!!
Apologies for the incorrect response again. Let's correct the mistake:
To convert 3x/2 + 3/2 into a mixed number, we need to find the whole number and the fractional part.
The whole number is obtained by dividing 3x by 2:
3x ÷ 2 = (3/2)x = 1.5x
So, the whole number part is 1.5x.
The fractional part is 3/2.
Therefore, the mixed number representation of 3x/2 + 3/2 is 1.5x + 3/2.