Multiplying whole number with fractions.I'm looking at a solution to a math problem and there are obviously some rules regarding multiplication of fractions that I don't know.Can someone make any sense of this? s n = 625 ⋅ ( 1 5 ) n − 1 1 5 − 1 = 625 ⋅ ( 1 5 ) n − 1 − 4 5 = − 3125 4 ⋅ ( ( 1 5 ) n − 1 ) = 3125 4 ⋅ ( 1 − ( 1 5 ) n ) Can someone explain to me how you get from each step to another?

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Multiplying whole number with fractions.I&#039;m looking at a solution to a math problem and there are obviously some rules regarding multiplication of fractions that I don&#039;t know.Can someone make any sense of this?      s    n    =  625  ⋅                              (                      1            5                    )                n            −      1                      1        5            −      1        =  625  ⋅                              (                      1            5                    )                n            −      1              −              4        5              =  −      3125    4    ⋅      (                  (                  1          5                )            n        −    1    )    =      3125    4    ⋅      (    1    −                  (                  1          5                )            n        )  Can someone explain to me how you get from each step to another?

Percyaehyq · Accepted Answer

First step: subtractionSecond step:       a          b      c        =      c    b    aThird step:   (  −  c  )  (  a  −  b  )  =  (  −  1  )  c  (  a  −  b  )  =  c  (  −  1  )  (  a  −  b  )  =  c  (  −  a  −  (  −  b  )  )  =  c  (  b  −  a  )

Jaiden Bowman · Accepted Answer

Maybe you are confused about the multiplication of       1          5      n       with   −  1?From first to second just substract   1 from       1    5  Second part is to multiply   625 with             −      5        4  , which comes from   1      /    (  −  4      /    5  ) by dividing,Finally we take   −  1 into the   (      1          5      n        −  1  ) , and since every negative number will turn to positive and every positive number will turn to negative, each number will change its sign. In order to show that n doesn&#039;t matter for our case,for   n  =  1:   −  1  ⋅  (  1  −  1      /    5  )  =  −  4      /    5  =  (  1      /    5  −  1  )for   n  =  2:   −  1  ⋅  (  1  −  1      /    25  )  =  −  24      /    25  =  (  1      /    25  −  1  )As you can see, it doesn&#039;t matter whether n is odd or even we just do the simple multiplication.

Multiplying whole number with fractions. I'm looking at a solution to a math problem and there are

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