(1/4x - 9)- (1/8x - 1)
Find the difference
whats the answer
To find the difference, we need to simplify the expression by combining like terms:
(1/4x - 9) - (1/8x - 1)
= 1/4x - 9 - 1/8x + 1 (distribute the negative)
= (2/8)x - (1/8)x - 9 + 1 (find a common denominator of 8)
= 1/8x - 8
Therefore, the difference is 1/8x - 8.
(1/4x - 9)- (1/8x - 1)
= (1/4)x - 9 - (1/8)x + 1
= (2/8)x - (1/8)x - 8
= (1/8)x - 8 or x/8 - 8
Yes, that is correct. Both expressions are equivalent.
To find the difference between the expressions (1/4x - 9) and (1/8x - 1), we need to subtract the second expression from the first expression.
So, the difference is: (1/4x - 9) - (1/8x - 1)
To subtract these expressions, we need to distribute the negative sign in front of the second expression:
= 1/4x - 9 - 1/8x + 1
Now, let's combine the like terms:
= (1/4x - 1/8x) + (-9 + 1)
To add or subtract fractions, we need to have a common denominator. Finding the least common denominator (LCD) of 4 and 8, we get 8:
= (2/8x - 1/8x) + (-9 + 1)
= (1/8x) + (-8)
Now, let's combine the terms:
= 1/8x - 8
To find the difference between two expressions, you need to subtract one expression from the other. In this case, you have (1/4x - 9) and (1/8x - 1).
To subtract the second expression from the first one, follow these steps:
Step 1: Distribute the negative sign to each term in the second expression.
-1/8x + 1
Step 2: Combine like terms with the same variable: x
1/4x - 1/8x = (2/8)x - (1/8)x = (1/8)x
Step 3: Combine the constant terms:
-9 - 1 = -10
Step 4: Combine the variable term and the constant term to get the final difference:
(1/8)x - 10
Therefore, the difference between (1/4x - 9) and (1/8x - 1) is (1/8)x - 10.