Post your responses to the following. Answer each question in a separate paragraph:

Question

Techniques that can simplify solving equations and inequalities are to clear fractions and decimals when solving linear equations and inequalities.

1. Demonstrate how fractions are cleared with an example with detailed algebraic calculations.
2. Demonstrate how decimals are cleared with an example with detailed algebraic calculations.


Write an equation or inequality that uses either decimal or fractional coefficients respectively for the variables for your classmates to solve.

Answer 1

1.
e.g. (2/3)x -4 = x/2 +1
multiply each term by 6, the LCD

4x - 24 = 3x + 6
x = 30

e.g.
.05x + ,2x = 5
multiply by 100, (since my longest decimal string is 2)
5x + 20x = 500
etc