Solve Equations with Fractions or Decimals: example 2.54

Solve: $\frac{a}{6} + 2 = \frac{a}{4} + 3$ .

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: $\frac{b}{10} + 2 = \frac{b}{4} + 5$ .

How did it go?


Multiply by the LCD, 12.
Distribute.
Simplify.
Collect the variables to the right.
Simplify.
Collect the constants to the left.
Simplify.
Check:
Let $a = −12$ .


Multiply by the LCD, 12.
Distribute.
Simplify.
Collect the variables to the right.
Simplify.
Collect the constants to the left.
Simplify.
Check:
Let $a = −12$ .