126         Reduction uj Vulyar Fractions.

EXAMPLES.

(7) Reduce -|4 to the lowest terms.

24)32(1                                                          ^

24

com. measure   ~8)24(3                              then 8)f|(=| Ans.

24

(8)  Reduce T3T°T to its lowest terms.                     Ans. -2^.

(9)  Reduce fff to its lowest terms.                   Ans. ^fT.

(10)  Reduce j-ff to its lowest terms.                       Ans. |,

(11)  Reduce f-§£ to its lowest terms.                     Ans. f]

(12)  Reduce f^-fi to its lowest terms.                     Ans. i

3.    To reduce a mixed number to an improper fraction.

Rule.—Multiply the whole number by the denominator of the fraction, and to the product add the numerator for >a new numerator, which place over the denominator.

(§g* To express a whole number fraction ways, set 1 for the denominator given.

EXAMPLES.

,13) Reduce 18^ to an improper fraction.            Ans. 'f*.

18 x7-{-3=129, new numerator.

^14) Reduce 56|-§- to an improper fraction.        Ans. S-!4S

(15)  Reduce 183^ST to an improper fraction.      Ans. *¦§¦£*¦

(16)  Reduce 13£ to an improper fraction.             Ans. 6-j .

(17)  Reduce 27|- to an improper fraction.           Ans. *£5.

(18)  Reduce 514-^g-to an improper fraction.      Ans. 8f-|9

4.    To reduce an improper fraction to its proper terms.

Rule.—Divide the upper term by the lower.

EXAMPLES.

(19)  Reduce 'j-9 to its proper terms.

129-1-7= 18f

(20)  Reduce '|45 to its proper terms.              Ans. 561 £•

(21)  Reduce 3|4>8 to its proper terms.             Ans. 18355-r. (23) Reduce 6T9 to its proper terms.                     Ans. 13-f. (23) Reduce J45 to its proper terms.                  Ans. 27|. {'44) llcduct! sri'1 to its proper terms,             Ans. 514^