Mister Exam

Other calculators

How do you (m-(14*m-49)/m)/(7/m-1) in partial fractions?

An expression to simplify:

The solution

You have entered [src]
    14*m - 49
m - ---------
        m    
-------------
    7        
    - - 1    
    m        
$$\frac{m - \frac{14 m - 49}{m}}{-1 + \frac{7}{m}}$$
(m - (14*m - 49)/m)/(7/m - 1)
Fraction decomposition [src]
7 - m
$$7 - m$$
7 - m
General simplification [src]
7 - m
$$7 - m$$
7 - m
Numerical answer [src]
(m - (-49.0 + 14.0*m)/m)/(-1.0 + 7.0/m)
(m - (-49.0 + 14.0*m)/m)/(-1.0 + 7.0/m)
Powers [src]
    49 - 14*m
m + ---------
        m    
-------------
         7   
    -1 + -   
         m   
$$\frac{m + \frac{49 - 14 m}{m}}{-1 + \frac{7}{m}}$$
(m + (49 - 14*m)/m)/(-1 + 7/m)
Common denominator [src]
7 - m
$$7 - m$$
7 - m
Rational denominator [src]
      2       
49 + m  - 14*m
--------------
    7 - m     
$$\frac{m^{2} - 14 m + 49}{7 - m}$$
(49 + m^2 - 14*m)/(7 - m)
Combining rational expressions [src]
      2       
49 + m  - 14*m
--------------
    7 - m     
$$\frac{m^{2} - 14 m + 49}{7 - m}$$
(49 + m^2 - 14*m)/(7 - m)
Combinatorics [src]
7 - m
$$7 - m$$
7 - m