How would you solve this problem?
(s-4/9)(-2/3)=-4/5
To solve this problem, we need to simplify the expression on the left side of the equation.
Step 1: Simplify (s - 4/9) by multiplying the fraction by -2/3:
(s - 4/9)(-2/3) = -2s/3 + 8/27
Step 2: Now we have the following equation:
-2s/3 + 8/27 = -4/5
Step 3: To get rid of the fraction, we can multiply the entire equation by the least common multiple (LCM) of the denominators of the fractions, which in this case is 27 and 5.
27 * -2s/3 + 27 * 8/27 = 27 * -4/5
Simplifying further, we get:
-18s + 8 = -108/5
Step 4: We can now solve for 's' by isolating the variable. First, let's multiply both sides of the equation by 5 to get rid of the fraction:
5 * -18s + 5 * 8 = -108/5 * 5
This simplifies to:
-90s + 40 = -108
Step 5: Next, subtract 40 from both sides of the equation:
-90s = -148
Step 6: Finally, divide both sides of the equation by -90 to solve for 's':
s = -148 / -90
Simplifying further, we get:
s = 74 / 45
So, the solution to the equation is s = 74/45.