Question

9/4 - 17/6= ?Can someone please help me?​

Answer 1

Answer:

-0.58333333333

Step-by-step explanation:

Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       6

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

3 0 1 1

Product of all

Prime Factors  4 6 12

Least Common Multiple:

    12

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 Denominator 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 = 2

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.      9 • 3

  ——————————————————  =   —————

        L.C.M              12  

  R. Mult. • R. Num.      17 • 2

  ——————————————————  =   ——————

        L.C.M               12  

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:

9 • 3 - (17 • 2)      -7

—————— =   ——

       12                 12

$\frac{-7}{12}$ = -0.58333333333