Podcast
Questions and Answers
How do you simplify algebraic fractions?
How do you simplify algebraic fractions?
Find the highest common factor of both the denominator and numerator, then divide both parts of the fraction by that number.
What should you do if there are no obvious common factors when simplifying a fraction?
What should you do if there are no obvious common factors when simplifying a fraction?
Factorise either the denominator, the numerator, or both to find the common factors.
How do you add or subtract algebraic fractions?
How do you add or subtract algebraic fractions?
You need to have a common denominator between both fractions before you can add or subtract the numerators.
How do you find a common denominator of two fractions?
How do you find a common denominator of two fractions?
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How do you multiply algebraic fractions?
How do you multiply algebraic fractions?
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How do you divide algebraic fractions?
How do you divide algebraic fractions?
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How do you solve equations with fractions of x on both sides?
How do you solve equations with fractions of x on both sides?
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What is the first step to solve equations where the unknown is in both the numerator and denominator?
What is the first step to solve equations where the unknown is in both the numerator and denominator?
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What should you do in Step 2 when solving equations with the unknown in both numerator and denominator?
What should you do in Step 2 when solving equations with the unknown in both numerator and denominator?
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How do you solve algebraic fractional equations?
How do you solve algebraic fractional equations?
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Study Notes
Simplifying Algebraic Fractions
- Identify the highest common factor (HCF) of the numerator and denominator.
- Divide both the numerator and denominator by the HCF to simplify the fraction.
No Obvious Common Factors
- If no apparent common factors exist, factorize the denominator, numerator, or both to identify common factors.
Adding and Subtracting Algebraic Fractions
- Establish a common denominator before performing addition or subtraction on the fractions.
Finding a Common Denominator
- The common denominator can be found by multiplying the denominators of the involved fractions.
Multiplying Algebraic Fractions
- Multiply the numerators together and the denominators together.
- Simplify the resulting fraction if necessary.
Dividing Algebraic Fractions
- Invert (turn upside down) the second fraction and then multiply the two fractions together.
Solving Equations with Fractions
- Multiply both sides of the equation by the lowest common multiple (LCM) of the denominators present in the fractions.
- After multiplying, solve the equation using standard techniques.
Solving Equations with Unknowns in Both Numerator and Denominator: Step 1
- Convert the answer of the equation into a fraction format (e.g., by dividing by 1).
- Cross-multiply to eliminate the fractions from the equation.
Solving Equations with Unknowns in Both Numerator and Denominator: Step 2
- Use inverse operations to isolate the variable on one side of the equation.
- Leave the non-variable side as a fraction and simplify it as needed.
Solving Algebraic Fractional Equations
- Perform the necessary operations (addition, multiplication, subtraction, division) on the algebraic fractions.
- Multiply the result by the denominator and apply inverse operations to isolate and find the variable.
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Description
Test your understanding of simplifying algebraic fractions with these flashcards. Each card covers essential concepts, including finding common factors and factorization techniques. Perfect for Term 3 Maths review!
