9 over 2 = x +4 over 6
dont show work
To solve the equation 9/2 = x + 4/6 without showing the work, you need to isolate the variable x. This can be done as follows:
x = 9/2 - 4/6
x = 27/6 - 4/6
x = 23/6
To solve the equation 9/2 = x + 4/6, follow these steps:
1. Subtract 4/6 from both sides to isolate x:
9/2 - 4/6 = x
2. Simplify each fraction:
9/2 = 3/1 (since 6 is a multiple of 2, we can multiply the numerator and denominator of 4/6 by 2)
3. Perform the subtraction:
3/1 - 4/6 = x
4. Find a common denominator for the fractions on the right side:
The common denominator is 6.
5. Convert 3/1 to have a denominator of 6:
Multiply both the numerator and denominator of 3/1 by 6:
3/1 * 6/6 = 18/6
6. Rewrite the equation with the common denominator:
18/6 - 4/6 = x
7. Subtract the numerators:
18/6 - 4/6 = 14/6
8. Simplify the resulting fraction:
14/6 simplifies to 7/3.
Therefore, the solution to the equation 9/2 = x + 4/6 is x = 7/3.
To find the value of x in the equation: 9/2 = x + 4/6
We can start by getting rid of the fraction on the right side of the equation. We need to find a common denominator for 2 and 6. The common denominator here is 6.
So, we can rewrite the equation as:
9/2 = x + (4/6) * (2/2)
Simplifying this gives us:
9/2 = x + 8/12
Now, we can add x to both sides of the equation to isolate the variable x:
9/2 - 8/12 = x + 8/12 - 8/12
To simplify further, we need to find a common denominator for 2 and 12, which is 12.
So, we have:
(9/2) * (6/6) - (8/12) = x
Simplifying gives us:
54/12 - 8/12 = x
46/12 = x
And there, we have found the value of x in the equation as 46/12.