This study notes covers Worked Example 2: Adding within Algebraic Fractions for GCSE Mathematics. Revise Algebraic Fractions in Algebra for GCSE Mathematics with 13 exam-style questions and 12 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 4 of 4 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 4 of 4
Practice
13 questions
Recall
12 flashcards
Worked Example 2: Adding
Simplify: 3/x + 2/(x + 1)
Step 1 Find common denominator
Common denominator = x(x + 1)
Step 2 Adjust each fraction
= 3(x + 1)/[x(x + 1)] + 2x/[x(x + 1)]
Step 3 Combine and simplify
= [3(x + 1) + 2x]/[x(x + 1)]
= (3x + 3 + 2x)/[x(x + 1)]
= (5x + 3)/[x(x + 1)]