|
Fractional Coefficients When we get a problem with fractional coefficients (a fraction before the x), we need to cancel out that fraction to make it go away! Remember that whatever we do to one side of the equation, we must do to the other side of the equation. Notice that the fractions cancel out: We show our work in this way: 3 2 3 2 ▪ ▪ 2 3 x = 14 2 3 2 3 x = 14 x = 14 x = 14 ▪ 3 2 ▪ ▪ 3 2 3 2 =14x3 = 21 2 Now you try: Fill in the fraction that you will multiply by: 8 3 4 x = 12 x = 7 7 8 6 13 x = 21 x = 42 Now you try: Find the answer. Keep it as a simplified fraction. x = 12 x = • 8 Here are a number of problems for you to try. In each case, you should get a whole number for the answer. You may use a calculator, but you really don't need one - you should be able to cancel out terms and do the math in your head. 5 8 9 4 4 7 x = 27 x = 48 x = 15 x = x = x = Now I'm going to try to trick you... - Before you answer, think about the SIGN of your answer. Should it be positive or negative. 5 8 x = 15 x = - - Try some more - think about the SIGNS 5 8 9 4 4 7 x = 27 x = -48 x = 15 x = x = x = Now complete Part I of your handout. Click OK once that's complete |