What is (m+4+3/m)/(m-4-5/m) ?

The solution to (m+4+3/m)/(m-4-5/m) is (m+3)/(m-5)

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simplify (m+4+3/m)/(m-4-5/m)

simplify

\frac{m + 4 + \frac{3}{m}}{m - 4 - \frac{5}{m}}

\frac{m + 3}{m - 5}

Solution steps

\frac{m + 4 + \frac{3}{m}}{m - 4 - \frac{5}{m}}

Join

m + 4 + \frac{3}{m} : \frac{m ^{2} + 4 m + 3}{m}

= \frac{\frac{m ^{2} + 4 m + 3}{m}}{m - 4 - \frac{5}{m}}

Join

m - 4 - \frac{5}{m} : \frac{m ^{2} - 4 m - 5}{m}

= \frac{\frac{m ^{2} + 4 m + 3}{m}}{\frac{m ^{2} - 4 m - 5}{m}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( m ^{2} + 4 m + 3 ) m}{m ( m ^{2} - 4 m - 5 )}

Cancel

\frac{( m ^{2} + 4 m + 3 ) m}{m ( m ^{2} - 4 m - 5 )} : \frac{m + 3}{m - 5}

= \frac{m + 3}{m - 5}

\frac{8}{35} \frac{600}{294} \cdot \frac{28}{36} \frac{210}{441}

(x + 3)^{8}

(3 x + 1)^{4}

\frac{4 s ^{8}}{( 3 s ) ^{3}}

\frac{17}{5} \div \frac{4}{3}

What is (m+4+3/m)/(m-4-5/m) ?
The solution to (m+4+3/m)/(m-4-5/m) is (m+3)/(m-5)