k= x/100
_______
(6-x)/100
how to work? what to do next??
I assume you are solving for x.
On the right, multiply numerator and denomiantor by 100..
k=x/(6-x)
now multiply both sides by 6-x
k(6-x)=x
divide each side by k
6-x=x/k
add x to each side
6= x/k + x = x(1/k + 1)
or x= 6/(1+1/k)
forget k
x/100
_______
(6-x)/100
solve for x
To work with the given expression, k = x/100 divided by (6-x)/100, follow these steps:
1. Simplify the expression inside each set of parentheses separately:
- Numerator: x/100 remains the same.
- Denominator: (6 - x)/100 can be simplified by dividing both terms by 100, resulting in (6 - x)/100.
2. Rewrite the expression as k = (x/100) ÷ ((6 - x)/100).
3. Since division is equivalent to multiplication by the reciprocal, divide the two fractions by multiplying the first fraction by the reciprocal of the second fraction. In this case, multiply k by the reciprocal of (6 - x)/100. The reciprocal of (6 - x)/100 is 100/(6 - x).
4. The expression can be rewritten as k = (x/100) * (100/(6 - x)). Note that we have multiplied the fractions together.
5. Simplify further: The 100s cancel out, leaving k = x / (6 - x).
Now, the expression is simplified to k = x / (6 - x).