Concept explainers
To simplify the expression
Answer to Problem 69MR
Explanation of Solution
Given:
The expression,
Concept Used:
- Least Common Denominator (LCD) is the smallest number that is divisible by the denominator of all the fractions that are being added or subtracted.
- Solving an equation containing rational expressions
- Multiply both sides of equations by LCD(least common denominator) of all denominators.
- Remove any grouping symbols and solve the resulting equation for the variable asked in equation
Calculation:
In order to simplify the given expression, observe that the LCD of 3 and 4 is 12. So, multiply the first fraction by 3 up and down and multiply the second fraction by 4 up and down to make both the denominators equal to the LCD and then simplify the numerators over the common denominator as shown below,
Thus, the given expression simplifies to
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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