REDUCTION OF VULGAR FRACTIONS. CASE 1st. To find the common measure of a Vulgar CASE 2d. To reduce a fraction to its lowest terms. * A Fraction still retains the same value, although reduced into lower terms. A Fraction ending with two even numbers, can be reduced into lower terms, being divisible by 2. Also, if one term of a Fraction end with 5, and the other with 0, or if both end with 5, the Fraction is divisible by 5. E CASE 3d. To reduce a mixed number to an improper *To express a whole number like a fraction, put 1 for the denominator, thus7 as 7, 13 as 3. CASE 4th. To reduce an improper fraction to its proper CASE 5th. To reduce a compound fraction to a simple 25. Reduce 201 When the same number is found in a numerator and denominator, it may be struck out of each. Or, when a numerator and denominator can be divided by any number, the quotients may be used instead. EXERCISES. of to a simple fraction. 26. Reduce of & to a simple fraction. 29. Reduce of of 12 to a simple fraction. 30. Reduce of 31. Reduce of of 34 to a simple fraction. of 1 to a simple fraction. Answer, Answer, Answer, Answer, 33 Answer, 125 Answer, $5 Answer, 29 CASE 6th. To find the least common multiple of any 32. Required the least common multiple of 3, 4, and 8, Answer, 24. Answer, 60. 33. Required the least common multiple of 2, 3, 4, 5, and 6. * This method of cancelling is very useful, as it shortens the work, and brings out the fraction in the lowest terms. 34. Required the least common multiple of 10, 18, 30, and 45. Answer, 90. 35. Required the least common multiple of 12, 6, 9, and 8. Answer, 72. CASE 7th. To reduce fractions of different denominators to equivalent fractions having a common denominator. 36. Reduce and to fractions having a common denominator. Answer, 4, 5. 37. Reduce, , and to fractions having a common denominator. Answer,,, 42. 38. Reduce, 3, and to fractions having a common denominator. * It will appear, by reducing the new fractions into the lowest terms, that the values are not changed: thus 11=3; 1=3; and fi |