Simplifying Fractions involving negative numbersI want to simplify 7 − 10 × − 15 6 7 − 19 + − 17 − 8 I really don't understand how to do this, or even how to start? Negative numbers make it even harder for me to try and simplify it.

Question

Simplifying Fractions involving negative numbersI want to simplify                    7                  −          10                    ×                        −          15                6                            7                  −          19                    +                        −          17                          −          8                    I really don&#039;t understand how to do this, or even how to start? Negative numbers make it even harder for me to try and simplify it.

Turynka2f · Accepted Answer

A few important facts to know are the following. For all complex numbers   a  ,  b  ,  n            −      a        b    =      a          −      b        =  −      (          a      b        )        a    b    +      c    b    =            a      +      c        b              n      ×      a              n      ×      b        =      a    b        a    b    =  a  ×      1    b  In particular, by the last identity above:      a          b      c        =  a  ×      c    b  Now it follows that:                                                        7                              −                10                                      ×                                          −                15                            6                                                          7                              −                19                                      +                                          −                17                                            −                8                                                                        =                                            7              10                        ×                          15              6                                                                          −                7                            19                        +                          17              8                                                                        =                              7            4                                              −              7              ×              8              +              17              ×              19                                      19              ×              8                                                                        =                              7            4                                267            152                                                            =                  7          4                ×                  152          267                                                  =                  1064          1068                    You can simplify this last expression by yourself if you wish.

Reginald Delacruz · Accepted Answer

Just simplify the numerator first and then simplify the denominator.      7          −      10        ×            −      15        6    =            −      105              −      60        =            −      7              −      4        =      7    4  leads us to            7      4                      7                  −          19                    +                        −          17                          −          8                      .Very similar principle with the denominator.      7          −      19        +            −      17              −      8        =      267    152  gives us            7      4              267      152        .To bring this home, rewrite this division of two fractions as a multiplication:            7      4              267      152        =      7    4    ×      152    267    =      1064    1068    =      532    534    =  …You get the idea.

Simplifying Fractions involving negative numbers I want to simplify 7

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