Find the difference. Write your answer in simplest form.
11 7/16 - 4 7/12=

163          

 ——— = 3.39583

 48            

Step-by-step explanation:

           47

Simplify   ——

           12

Equation at the end of step

1

:

 117    47

 ——— -  ——

 16     12

STEP

2

:

           117

Simplify   ———

           16

Equation at the end of step

2

:

 117    47

 ——— -  ——

 16     12

STEP

3

:

Calculating the Least Common Multiple

3.1    Find the Least Common Multiple

     The left denominator is :       16

     The right denominator is :       12

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2424

3011

Product of all

Prime Factors  161248

     Least Common Multiple:

     48

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 3

  Right_M = L.C.M / R_Deno = 4

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.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      117 • 3

  ——————————————————  =   ———————

        L.C.M               48  

  R. Mult. • R. Num.      47 • 4

  ——————————————————  =   ——————

        L.C.M               48  

Adding fractions that have a common denominator :

3.4       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:

117 • 3 - (47 • 4)     163

——————————————————  =  ———

        48             48

Final result :

 163          

 ——— = 3.39583

 48