Simplify · Compare · Add · Subtract — Free, with step-by-step
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Fractions are one of the most important and most challenging concepts in school mathematics. Mastering them opens the door to decimals, percentages, ratios, and algebra. This worksheet covers the four pillars: simplify, compare, add and subtract.
Recommended routine: 10–15 minutes daily. Start with simplifying (reinforces GCD), then comparing (reinforces LCM), and finally addition and subtraction. The "Step by step" button on each exercise explains the complete procedure.
Teach finding the GCD through factorization first. Once students master GCD, simplifying becomes mechanical. If the result has numerator 1, it's a unit fraction.
Cross-multiplication is the fastest shortcut for two fractions. For more than two, the common denominator method is correct. Always verify with visual examples.
The most common mistake is adding denominators. Insist that the common denominator is the LCM, not the sum. Bar diagrams help visualize this at the beginning.
If the result is negative, the student probably reversed the order. Teach them to identify which fraction is larger before subtracting. A number line model helps.
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