Solving a Single Variable Equation :
 2.3      Solve  :    3v-5 = 0Â
 Add  5 to both sides of the equation :Â
                      3v = 5Â
Divide both sides of the equation by 3:
            v = 5/3 = 1.667Â
One solution was found :Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â v = 5/3 = 1.667
Making Equivalent Fractions : 1.3     Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.Â
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respectiveMultiplier. L. Mult. • L. Num. 5v • 3
—————————————————— = ——————
L.C.M 39
R. Mult. • R. Num. 25
—————————————————— = ——      L.C.M 39Calculating the Least Common Multiple : 1.1   Find the Least Common MultipleÂ
     The left denominator is :       13Â
     The right denominator is :       39Â
        Number of times each prime factor
        appears in the factorization of: PrimeÂ
 Factor  LeftÂ
 Denominator  RightÂ
 Denominator  L.C.M = MaxÂ
 {Left,Right} 131113011 Product of allÂ
 Prime Factors 133939
     Least Common Multiple:Â
    39 v = 5/3 = 1.667 nextÂ
rearrange =Â 5*v/13-(25/39)=0Â
Step by step solution:part 1: 5v 25 Simplify —— - —— 13 39
Calculating Multipliers :Â 1.2Â Â Â Calculate multipliers for the two fractionsÂ
   Denote the Least Common Multiple by  L.C.MÂ
   Denote the Left Multiplier by  Left_MÂ
   Denote the Right Multiplier by  Right_MÂ
   Denote the Left Deniminator by  L_DenoÂ
   Denote the Right Multiplier by  R_DenoÂ
   Left_M = L.C.M / L_Deno = 3
   Right_M = L.C.M / R_Deno = 1
Pulling out like terms : 1.5    Pull out like factors :
   15v - 25  =   5 • (3v - 5)Â
Equation at the end of step  1  : 5 • (3v - 5)
———————————— = 0
39
Step  2  : 5•(3v-5)
Solve ———————— = 0
39