Question

simplify (1/2×1/4)+(1/2×6)?with soluction full

Answer 1

(1/2×1/4)+(1/2×6)
= 1/8+3
= 1/8+24/8
= 25/8...

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Answer 2

Simplify — 2

Equation at the end of step  1  :

1 1 (— - —) - 6 4 2

Step  2  :

1 Simplify — 4

Equation at the end of step  2  :

1 1 (— - —) - 6 4 2

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple 

      The left denominator is :       4 

      The right denominator is :       2 

        Number of times each prime factor
        appears in the factorization of: Prime 
 Factor  Left 
 Denominator  Right 
 Denominator  L.C.M = Max 
 {Left,Right} 2212 Product of all 
 Prime Factors 424


      Least Common Multiple: 
      4 

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 = 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. 

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

L. Mult. • L. Num. 1 —————————————————— = — L.C.M 4 R. Mult. • R. Num. 2 —————————————————— = — L.C.M 4

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:

1 - (2) -1 ——————— = —— 4 4

Equation at the end of step  3  :

-1 —— - 6 4

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction 

Rewrite the whole as a fraction using  4  as the denominator :

6 6 • 4 6 = — = ————— 1 4

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 :

 4.2       Adding up the two equivalent fractions 

-1 - (6 • 4) -25 ———————————— = ——— 4 4

Final result :

-25 ——— = -6.25000 4