Solving a 2 step equation Involving Rational Numbers
by Monica Marie
(Virginia)
2/3 = -1 5/9 + 5/8x
I'm getting stuck on finding the common denominator with a mixed number to get this answer. Help!!
Karin from Algebra Class Says:
The first thing that you must do is convert the mixed number to an improper fraction.
-1 5/9 = -14/9 as an improper fraction.
Then you can begin solving by getting rid of the fraction. The least common multiple for 3, 9, and 8 is 72. Therefore, you must multiply all terms by 72.
72
2/3 = 72
-14/9 + 5/8x48 = -112 + 45x
Now that you don't have any fractions, it's much easier to solve this 2 step problem.
Step 1: Add 112 to both sides.
48 + 112 = -112 + 112 + 45x
160 = 45x
Step 2: Divide by 45 on both sides
160/45 = 45x/45
32/9 = x
Step 3: Then substitute to check your answer.
2/3 = -14/9 + 5/8(32/9)
2/3 = 2/3
I hope this helps,
Karin