Arithmetic And Its Applications Designed As a Text book for Common Schools Hig
Arithmetic And Its Applications Designed As a Text book for Common Schools Hig
Dana P Dana Pond Colburn
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— Since there are 4 fourths for each unit, there must be 4 times as many fourths in any number as there are units. Hence, 439 = 4 times 439 fourths, or 1756 fourths, and 3 fourths added are 1759 fourths. Hence, 439| = --¥'-• Note. — Compare these reasoning processes with those given on the 85th page. 10. Reduce 578f to ninths. 11. Reduce 14762|- to sevenths. 12. Reduce 74968^^^ to seventeenths. 13. Reduce 6483ff to forty-sevenths. 14. Reduce 438 6^f to twenty-eighths. 15. Reduce 427^^f to two h...undred and seventy-thirds. 16. 9 z= how many times ^ ? * First Solution. — Since 1 = f, 9 must equal 9 times J, or ^-, and 1 fourth is contained in 36 fourths 36 times. Hence, 9 = 36 times i". Second Solution. — Since 1 = 4 times ^, or f, 9 must equal 9 times 4 times i, or 36 times ^. Hence, 9 = 36 times 5-. 17. 7 = how many times ^ ? 18. 11 z=z how many times -^ ? 19. 49 =r how many times ^? 20. 487 = how many times ^'-^ ? 21. 9 = how many times -^ ? 22. 7 z= how many times . 1 ^ 23.
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