16/3(6/8b+9/2) Final result : 4 • (b + 6)
Step by step solution :Step  1  : 9
Simplify —
2
Equation at the end of step  1  : 16 6 9
—— • ((— • b) + —)
3 8 2Step  2  : 3
Simplify —
4
Equation at the end of step  2  : 16 3 9
—— • ((— • b) + —)
3 4 2
Step  3  :Calculating the Least Common Multiple :
 3.1   Find the Least Common MultipleÂ
     The left denominator is :       4Â
     The right denominator is :       2Â
        Number of times each prime factor
        appears in the factorization of: PrimeÂ
 Factor  LeftÂ
 Denominator  RightÂ
 Denominator  L.C.M = MaxÂ
 {Left,Right} 2212 Product of allÂ
 Prime Factors 424
     Least Common Multiple:Â
      4Â
Calculating Multipliers :
 3.2   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 = 1
   Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
 3.3     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. 3b
—————————————————— = ——
L.C.M 4
R. Mult. • R. Num. 9 • 2
—————————————————— = —————
L.C.M 4
Adding fractions that have a common denominator :
 3.4      Adding up the two equivalent fractionsÂ
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3b + 9 • 2 3b + 18
—————————— = ———————
4 4
Equation at the end of step  3  : 16 (3b + 18)
—— • —————————
3 4
Step  4  : 16
Simplify ——
3
Equation at the end of step  4  : 16 (3b + 18)
—— • —————————
3 4
Step  5  :Step  6  :Pulling out like terms :
 6.1    Pull out like factors :
   3b + 18  =   3 • (b + 6)Â
Final result : 4 • (b + 6)