To simplify the expression
Given:
The expression,
Concept Used:
To add or subtract fractions with unlike denominators, follow the below steps:
Step 1: Find the least common multiple (LCM) for the denominators.
Step 2: Multiply the numerator and denominator to get like denominators.
Step 3: Turn the other fractions into equivalent fractions.
Step 4: Add the numerators over the common denominator.
Step 5: Simplify and reduce the answer if necessary.
Calculation:
In order to simplify the given expression, rewrite the mixed fraction as improper fractions as shown below
Now, to simplify the fractions, note that the least common denominator of 2 and 3 is 6. So, make both denominator equal to the LCM and combine the numerators directly over the common denominator as shown below
Thus, the simplified expression is
Chapter SH Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education