Everyday Mathematics
Why a repeating decimal can still be written as a fraction
A repeating decimal can represent an exact fraction. Use a short algebra example to distinguish an endless repeating pattern from a rounded display.
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fractions
Learning Mathematics
Show why a fraction’s denominator does not add when the parts match
Use equal paper strips to explain addition with matching denominators, showing that the number of pieces changes while the size of each piece stays the same.
Understanding Mathematics
Why Dividing by a Fraction Can Make the Answer Bigger
Use paper strips to see why dividing by one half gives twice as many pieces, then connect the picture to the reciprocal calculation.
Learning Mathematics
Compare Fractions by Making the Pieces the Same Size
Compare fractions using equal-sized wholes and a common denominator so the reasoning is visible instead of relying on the largest number.