Fractions, Decimals and Percentages · Chapter 2

Fraction Compare and Simplify

Different-looking fractions can name the same amount. Cut both into the same size of piece, and the bigger one shows itself.

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Opens on Chapter 2’s example: the two pies, 3/5 against 5/8, and 84 of 126 neighbors.

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From the book, Chapter 2. 3/5 against 5/8: cross-multiplying gives 24 against 25, so 5/8 is bigger, by 1/40. Halfway between 1/4 and 3/8 is 5/16. 84/126 simplifies to 2/3 (the greatest common factor is 42); 18 of 24 cans is 3/4.

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