33.7k views
5 votes
Solve the expression: 5/6x - 5/12x - 1/3 + 1/4x + 1/12.

User Lrayh
by
7.9k points

1 Answer

1 vote

Final answer:

To solve the expression 5/6x - 5/12x - 1/3 + 1/4x + 1/12, combine like terms and simplify the fractions. The simplified expression is (5/18)x + (1/12).

Step-by-step explanation:

To solve the expression: 5/6x - 5/12x - 1/3 + 1/4x + 1/12, we need to combine like terms. First, combine the terms with x: 5/6x - 5/12x + 1/4x. We can find the common denominator by multiplying the denominators (6, 12, and 4) to get 24. Then, multiply each fraction by the appropriate factor to have a denominator of 24:

(40/72)x - (20/72)x + (6/24)x + (2/24)

Now, we can combine the numerators: (40/72 - 20/72 + 6/24)x + (2/24)

Simplify the numerators: (20/72)x + (2/24)

Now, we can simplify the fractions by dividing the numerator and denominator by their greatest common factor:

(5/18)x + (1/12)

User Lukas Kucera
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories