Question

-4n + 1/3m + 4n - 4/5m​

Answer 1

Answer:

$-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}$        

Step-by-step explanation:

Given the expression

$-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}$

Group like terms

$-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}=-4n+4n+\frac{1}{3m}-\frac{4}{5m}$

Adding similar elements: -4n + 4n = 0

                                      $=\frac{1}{3m}-\frac{4}{5m}$          

L.C.M of 3m and 5n will be: 15m

so adjusting fractions based on the LCM

                                       $=\frac{5}{15m}-\frac{12}{15m}$      

Since, the denominators are equal, combine the fractions:  $\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

                                       $=\frac{5-12}{15m}$

                                       $=\frac{-7}{15m}$

                                       $=-\frac{7}{15m}$

Therefore, we conclude that:

$-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}$