Answer is 3/10
Step-by-step explanation:
Step by Step Solution
STEP
1
:
      8
Simplify  ——
      15
Equation at the end of step
1
:
 5   8
 — -  ——
 6   15
STEP
2
:
      5
Simplify  —
      6
Equation at the end of step
2
:
 5   8
 — -  ——
 6   15
STEP
3
:
Calculating the Least Common Multiple :
3.1 Â Â Find the Least Common Multiple
   The left denominator is :    6 Â
   The right denominator is :    15 Â
    Number of times each prime factor
    appears in the factorization of:
Prime Â
Factor  Left Â
Denominator  Right Â
Denominator  L.C.M = Max Â
{Left,Right} Â
2101
3111
5011
Product of all Â
Prime Factors  61530
   Least Common Multiple:
   30 Â
Calculating Multipliers :
3.2 Â Â Calculate multipliers for the two fractions
  Denote the Least Common Multiple by  L.C.M Â
  Denote the Left Multiplier by  Left_M Â
  Denote the Right Multiplier by  Right_M Â
  Denote the Left Deniminator by  L_Deno Â
  Denote the Right Multiplier by  R_Deno Â
 Left_M = L.C.M / L_Deno = 5
 Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
3.3 Â Â Â 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.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
 L. Mult. • L. Num.    5 • 5
 ——————————————————  =  —————
    L.C.M        30 Â
 R. Mult. • R. Num.    8 • 2
 ——————————————————  =  —————
    L.C.M        30 Â
Adding fractions that have a common denominator :
3.4 Â Â Â Adding up the two equivalent fractions
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:
5 • 5 - (8 • 2)    3
———————————————  =  ——
   30       10
Final result :
 3      Â
 —— = 0.30000 Â
 10     Â
