Solve Equations with Fractions or Decimals: example 2.49

Solve: $6 = \frac{1}{2} v + \frac{2}{5} v - \frac{3}{4} v$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve: $7 = \frac{1}{2} x + \frac{3}{4} x - \frac{2}{3} x$ .

How did it go?

Find the LCD of all fractions in the equation.
The LCD is 20.
Multiply both sides of the equation by 20.
Distribute.
Simplify—notice, no more fractions!
Combine like terms.
Divide by 3.
Simplify.
Check:
Let $v = 40$ .

Find the LCD of all fractions in the equation.
The LCD is 20.
Multiply both sides of the equation by 20.
Distribute.
Simplify—notice, no more fractions!
Combine like terms.
Divide by 3.
Simplify.
Check:
Let $v = 40$ .