Solve for w w- 5/7-5 2/3

21w - 379

 ——————

    21  

Step-by-step explanation:

Step  1  :

           52

Simplify   ——

           3

Equation at the end of step  1  :

       5     52

 (w -  —) -  ——

       7     3

Step  2  :

           5

Simplify   —

           7

Equation at the end of step  2  :

       5     52

 (w -  —) -  ——

       7     3

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  7  as the denominator :

         w     w • 7

    w =  —  =  —————

         1       7  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       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:

w • 7 - (5)     7w - 5

———————————  =  ——————

     7            7  

Equation at the end of step  3  :

 (7w - 5)    52

 ———————— -  ——

    7        3

Step  4  :

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

     The left denominator is :       7

     The right denominator is :       3

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

7101

3011

Product of all

Prime Factors  7321

     Least Common Multiple:

     21

Calculating Multipliers :

4.2    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 = 7

Making Equivalent Fractions :

4.3      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.      (7w-5) • 3

  ——————————————————  =   ——————————

        L.C.M                 21    

  R. Mult. • R. Num.      52 • 7

  ——————————————————  =   ——————

        L.C.M               21  

Adding fractions that have a common denominator :

4.4       Adding up the two equivalent fractions

(7w-5) • 3 - (52 • 7)     21w - 379

—————————————————————  =  —————————

         21                  21    

Final result :

 21w - 379

 —————————

    21    

Processing ends successfully

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answer: b.48 for

step-by-step explanation:

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d