Operations on Fractions
Adding, subtracting, multiplying, and dividing fractions requires specific rules, essential skills for solving fraction-based problems.
Core concept
Adding or subtracting fractions with different denominators requires finding a common denominator first, using the LCM.
How it works
Multiplying fractions involves multiplying the numerators together and the denominators together, like 2/3×3/4=6/12=1/2.
Why it matters
Dividing fractions involves multiplying by the reciprocal (flipped fraction) of the second fraction, like 2/3÷1/4=2/3×4/1=8/3.
Key detail
Simplifying fractions to their lowest terms after operations makes results easier to understand and use.
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Quick notes
• Adding/subtracting: need common denominator (LCM).
• Multiplying: multiply numerators, multiply denominators.
• Example: 2/3×3/4=6/12=1/2.
• Dividing: multiply by reciprocal.
• Example: 2/3÷1/4=2/3×4/1=8/3.
• Simplify results to lowest terms.
• This makes results easier to use.
• Practice builds fraction operation skills.