Fractions, Decimals and Percentages · Chapter 8

Long Division and Repeating Decimals

A fraction is a division. Some decimals end; the rest must repeat, because there are only so many remainders.

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Opens on Chapter 8’s example: 3/8 by long division, and Nora’s $87.50 lunch for four.

Split a bill evenly
Enter your numbers, then press Calculate.
From the book, Chapter 8. 3 ÷ 8 = 0.375. 1/7 = 0.142857142857…, repeating 142857; 7/40 = 0.175 ends, but 7/30 = 0.2333… doesn’t. $87.50 ÷ 4 = $21.875: two people pay $21.87 and two pay $21.88. 312.4 miles on 11.6 gallons is 26.93 mpg; $3.29 for 12 ounces is 27.4¢ an ounce, against 24.9¢ for $4.49 and 18 ounces.

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