Calculate. m n − n 5 m + n n

Question

Calculate.                    m        n            −              n        5                            m        +        n            n

alienceenvedsf0 · Accepted Answer

m        n            −              n        5                            m        +        n            n            ﻿    =                    5        n        −                  n                      2                                      5        n                            m        +        n            n        =            5      m      −              n                  2                            5      n        ∗      n          m      +      n        =            5      m      −              n                  2                            5      (      m      +      n      )

Edward Hendricks · Accepted Answer

First obtain common denominator in the numerator.

\frac{\frac{5 m - n^{2}}{5 n}}{\frac{m + n}{n}}

Now flip the fraction in the denominator and multiply by the fraction in the numerator.

\frac{5 m - n 2}{5 n} * \frac{n}{m + n}

and multiply

\frac{5 m n - n^{3}}{5 m n + 5 n^{2}}

factor out a "n"

\frac{n (5 n - n^{2})}{n (5 m + n)} = \frac{5 m - n^{2}}{5 m + 5 n}

Calculate. (m/n)-n/5/((m+n)/n)

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