Simple fraction calculationI'm trying to write this expression as one fraction: 5 y + 1 ⋅ 1 5 + y y + 1 3 = 5 y 5 y + 5 + 3 y y + 1 = 5 y 2 + 5 + 15 y 2 + 15 y 5 y 2 + 10 y + 5 = 20 y 2 + 15 y + 5 5 y 2 + 10 y + 5 = 4 y 2 + 3 y + 1 2 y . Am I doing this in the right way? Any hints about what to do next, please?

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Simple fraction calculationI&#039;m trying to write this expression as one fraction:                              5                      y            +            1                          ⋅                  1          5                +                  y                                    y              +              1                        3                                              =                              5            y                                5            y            +            5                          +                              3            y                                y            +            1                                                            =                              5                          y              2                        +            5            +            15                          y              2                        +            15            y                                5                          y              2                        +            10            y            +            5                                                            =                              20                          y              2                        +            15            y            +            5                                5                          y              2                        +            10            y            +            5                                                            =                              4                          y              2                        +            3            y            +            1                                2            y                          .            Am I doing this in the right way? Any hints about what to do next, please?

Sawyer Day · Accepted Answer

Key idea to remember is that      1          a      b        =      b    a    .So you get      5          y      +      1        ⋅      1    5    +      y                  y        +        1            3        =      1          y      +      1        +            3      y              y      +      1        =            1      +      3      y              y      +      1        .

Eden Solomon · Accepted Answer

Your mistake was in simplifying from step 3 to 4. You cannot simplify each term like that. You can only simplify factors.For example       5    13   could be rewritten as             2      +      3              4      +      9       Using your method this would simplify to             1      +      1              2      +      3       or       2    5   But we know that       5    13   isn&#039;t equal to       2    5  You can only simplify by factoring and canceling out factors. YOu should factor out the extra (y+1) that you have in the numerator and denominator. Alternatively you could simplify the first fraction before you add it making your life so much simpler.

Simple fraction calculation I'm trying to write this expression as one fraction: <mtable colu

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