Solve Equations with Fractions or Decimals: example 2.55

Solve: $\frac{4 q + 3}{2} + 6 = \frac{3 q + 5}{4}$ .

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: $\frac{3 r + 5}{6} + 1 = \frac{4 r + 3}{3}$ .

How did it go?


Multiply by the LCD, 4.
Distribute.
Simplify.
Collect the variables to the left.
Simplify.
Collect the constants to the right.
Simplify.
Divide by 5.
Simplify.
Check:
Let $q = −5$ .
Finish the check on your own.


Multiply by the LCD, 4.
Distribute.
Simplify.
Collect the variables to the left.
Simplify.
Collect the constants to the right.
Simplify.
Divide by 5.
Simplify.
Check:
Let $q = −5$ .
Finish the check on your own.