-1%2F6(2a-3b).jpeg "1/4(a-3b)-1/6(2a-3b)")
Simplifying Algebraic Expressions: 1/4(a-3b) - 1/6(2a-3b)
In algebra, simplifying expressions is an essential skill to master. In this article, we will explore how to simplify the expression 1/4(a-3b) - 1/6(2a-3b).
Step 1: Start with the Given Expression
The given expression is:
1/4(a-3b) - 1/6(2a-3b)
Step 2: Find the Least Common Multiple (LCM)
To add or subtract fractions, we need to find the least common multiple (LCM) of the denominators, which are 4 and 6. The LCM of 4 and 6 is 12.
Step 3: Convert Each Fraction to Have a Denominator of 12
Now, we need to convert each fraction to have a denominator of 12:
1/4(a-3b) = 3/12(a-3b) 1/6(2a-3b) = 2/12(2a-3b)
Step 4: Simplify the Expression
Now that we have the same denominator, we can subtract the two fractions:
3/12(a-3b) - 2/12(2a-3b)
= 3a/12 - 9b/12 - 4a/12 + 6b/12
Step 5: Combine Like Terms
Combine like terms:
= -a/12 - 3b/12 + 6b/12
Step 6: Simplify Further
Simplify the expression further by combining the b terms:
= -a/12 + 3b/12
And that's it! We have simplified the expression 1/4(a-3b) - 1/6(2a-3b) to -a/12 + 3b/12.
By following these steps, you can simplify algebraic expressions with ease. Remember to find the LCM, convert each fraction, simplify, and combine like terms to get the final answer.
