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CH 3]                             Calculating Business                                  3-7




                    In Example 3, the numerator is 3/4, which is 3 ÷ 4, and arithmetically yields the equivalent
                    decimal value of 0.75. The arithmetic for this number is the same as in Example 1 and 3
                    discussion for denominators.

                                 4
                    Example A:        is a complex fraction. The numerator is 4 and the denominator is 1/4.
                               1/4

                                 4         4
                    Solution:         =         =  16        Denominator is first, numerator is second.
                               1/4       0.25


                               2/5
                    Example B:         is a complex fraction. The numerator is 2/5 and the denominator is 4.
                                 4


                                2/5    2/5      0.4
                    Solution:       =       =        =  0.10    Denominator is first, numerator is second.      3
                                 4      4        4


                                3/4
                    Example C:           is a complex fraction. The numerator is 3/4 and the denominator is 9/10.
                                9/10

                                3/4       3/4      0.75
                    Solution:         =         =        = 0.8333  Denominator is first, numerator is second.
                               9/10       0.90      0.90

                    Solution C:  With your hand calculator, in this order, denominator first and then numerator:


                   Cl/C     9     ÷    10    =    M+     3     ÷    4     =     ÷     MR      =   0.8333


                             Denominator                    Numerator                              Answer

                    Understanding the order for complex fractions is important when calculating compound interest,
                    annuity values, and determining the monthly payment on a loan.

                       Rounding Decimal Fractions. The rules commonly used to round decimal fractions are
                    delineated in Figure 3.5 :


                           1.  Here's the general rule for rounding: If the number you are rounding is followed
                              by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is
                              40. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number
                              down. Example: 33 rounded to the nearest ten is 30.
                           2.   Determine the rounding point: one decimal place, two decimal places, three decimals
                              places, which are 1/10,  1/100, 1/1000.  Underline the digit in the place specified. This is the
                              place digit.
                           3.   The first digit to the right of the place digit is the test digit.
                           4.   If the test digit is in the number range of 5, 6, 7, 8, or 9, add 1 to the place digit. (Rounding
                              up)
                           5.   If the test digit is in the number range of 0, 1, 2, 3, or 4 do not change the place digit.
                              (Rounding down)


                                             Figure 3.5  Rules for Rounding
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