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MATHEMATICS FOR AIR CREW TRAINEES
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 (2) Example: Express 4.0785 in fractional form.
     Solution: First express .0785 as a fraction:
              .0785=785/10,000
          4.0875=4+785/10,000= 4 785/10,000        Answer.
  b. As stated in paragraph 7e, a fraction such as 54/16 or 54/16 is really just an indicated division. Very frequently in calculations it is much easier to carry a fraction along as a fraction than it is to "divide it out." Later on, this problem will be considered in detail. At present, however, there is one very important rule of operation on fractions which should be mastered. 
  (1) This rule is that both the dividend (numerator) and divisor (denominator) of any fraction may be divided or multiplied by any number (except zero), without changing the value of the fraction. For example, if the numerator (54) and the denominator (16) of the fraction 54/16 are both divided by 2, then according to this rule 54/16=27/8.
  (2) This rule allows zeros to be added to any given decimal number. Since .27=27/100, for example, by the rule, both numerator and denominator can be multiplied by 10. Then 270/1000=.270 and because the fractional value is unchanged, .27=.270.
   c. A fraction is said to be in its lowest terms or simplest for if there is no number which will divide both the numerator and denominator evenly. The operation of finding the simplest form of a fraction is called reduction to the lowest terms or simplification. 
   Example: Simplify 632/32
   Solution: Divide numerator and denominator by 4:
                              632/32 = 158/8
This can be simplified still more by dividing by 2:
                              128/8 = 79/4         Answer
 d. Exercises.---In the following exercises express the given decimal fractions in fractional form and then simplify. When possible, express the simplified fraction as a mixed number.
 (1) 1.875=?
 (2) .9375=?                                15/16  Answer
 (3) 2.109375=?
 (4) .125=?                                   1/8  Answer
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