Question

What is the solution to this equation? −1/4(x+1 2/3)=−2 1/5

Answer 1

Answer:

x = 107/15

Step-by-step explanation:

Our first step should be to turn all of the mixed fractions into improper fractions. So, 1 2/3 becomes 5/3, and -2 1/5 becomes -11/5. We now get -1/4(x + 5/3) = -11/5. Now we should divide both sides by -1/4, and we get x + 5/3 = -11/5 x -4 = 44/5. So x + 5/3 = 44/5. We want the denominator to be equal on both sides so a common denominator could be 15. 5(5)/3(5) = 25/15. 44(3)/5(3) = 132/15. So now we have x + 25/15 = 132/15. We subtract both sides by 25/15 and we get x = 107/15.