By Isaac Todhunter
This Elibron Classics booklet is a facsimile reprint of a 1864 version via Macmillan and Co., Cambridge and London.
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Extra resources for A Treatise On The Differential Calculus with numerous examples
These two stacks will be used to construct fractions. The black cards are the numerators and the red cards are the denominators. Aces count as 1’s. 31 PartII 12/6/00 9:25 AM Page 32 Game Rules 1. Player 1 shuffles the black cards and places them facedown in a pile in the center of the table. He or she then shuffles the red cards and places them facedown below the black cards. 2. Player 1 turns over the top red card, which is the denominator for all the fractions in the player’s turn. Player 2 starts the stopwatch, and player 1 turns over the top black card, the first numerator.
There are seven ways to make a whole pizza that is a combination of cheese and pepperoni: 7 1 seven slices ( 8 ) cheese and one slice (8 ) pepperoni 3 1 six slices ( 4 ) cheese and two slices (4 ) pepperoni 5 (83) pepperoni 1 1 four slices (2 ) cheese and four slices (2 ) pepperoni 1 5 three slices (8 ) cheese and five slices (8 ) pepperoni 1 3 two slices (4 ) cheese and six slices (4 ) pepperoni 1 7 one slice (8 ) cheese and seven slices (8 ) pepperoni five slices (8 ) cheese and three slices 42 ADDING AND SUBTRACTING FRACTIONS PartIII 11/28/00 9:22 AM Page 43 5.
No matter what the numerator is, if the denominator is 0 the fraction is always undefined. ZERO 37 PartII 12/6/00 9:25 AM Page 38 PartIII 11/28/00 9:22 AM Page 39 III ADDING AND SUBTRACTING FRACTIONS N ow that you know fraction basics, it is time to learn how to add and subtract fractions. You’ll learn how to add and subtract fractions that have common denominators and fractions that have different denominators. You’ll add mixed numbers to mixed numbers, mixed numbers to proper fractions, and fractions to whole numbers.