5. Do you find similarities between the rules of adding & subtracting dissimilar fractions and
adding & subtracting dissimilar rational algebraic expressions?
Answers
Answer:
Step 1: Factor the denominator of each fraction to help find the LCD.
Step 2: Find the least common denominator (LCD). Click on the link if you need to review the steps for finding the LCD.
Step 3: Find the new numerator for each fraction. To find the new numerators for each fraction compare the denominator of each of the original fractions to the LCD and write down everything different about the LCD in the numerator of that fraction. You should also consider using the letters “LCD” in the denominators instead of the actual LCD because this will make it less tempting to reduce the fractions.
Step 4: Combine the fraction by adding or subtracting the numerators and keeping the LCD. When subtracting, notice that the subtraction sign is moved into the numerator so it can be distributed later if needed.
Step 5: Simplify the numerator by distributing and combining like terms.
Step 6: Factor the numerator if you can and replace the letters “LCD” with the actual LCD.
Step 7: Simplify or reduce the rational expression if you can. Remember to reduce rational expressions the factors must be exactly the same in both the numerator and denominator. Click on the link if you need to review the steps for Simplifying Rational Expressions.
Step-by-step explanation:
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Solution:
To add or subtract dissimilar fractions (or unlike fractions), follow the following steps.
Change dissimilar fractions into similar fractions (or like fractions).
Add or subtract the numerator of the fractions as similar fractions. The sum or difference obtained must be in the lowest term.
Before we see how to add and subtract integers, we define terms and factors.. Terms and Factors. A term in an algebraic expression is an expression involving letters and/or numbers (called factors), multiplied together.
Example 1. The algebraic expression. 3x. is an example of one single term.
It has factors 3 and x.
The 5 is called the coefficient of the term and the x is a variable.