Three-fourths of p is 18.

0+3 over (2^3 * 5^5)

Step-by-step explanation:

           314159

Simplify   ——————

           100000

Equation at the end of step

1

:

                 314159

 3 -  ((4thsof • ——————) • s18)

                 100000

STEP

2

:

Multiplying exponential expressions

2.1    s1 multiplied by s18 = s(1 + 18) = s19

Dividing exponents:

2.2    22   divided by   25   = 2(2 - 5) = 2(-3) = 1/23

Equation at the end of step

2

:

      314159ths19of

 3 -  —————————————

         (23•55)  

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  23 • 55  as the denominator :

         3     3 • (23•55)

    3 =  —  =  ———————————

         1       (23•55)  

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

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 = 23 • 55

  Right_M = L.C.M / R_Deno = 1

Adding fractions that have a common denominator :

3.3       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:

3 • (23•55) - (314159ths19of)     -314159ths19of + 3•23•55

—————————————————————————————  =  ————————————————————————

           (23•55)                        (23•55)        

Final result :

  0 + 3

 ———————

 (23•55)

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.