Multiple choice

Find the value of the following expression.

{( 25/36 x 216/125) + (2401/343 x 1296/216) } / {(- 25/36 x 6/5) + (- 4/9 x 81/64)}.

  1. 216/5 x 48/67

    • 216/5 x 48/67
  2. 5/216 x 67/48

  3. 67/48 x 5/216

    • 5/216
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The given expression is {( 25/36 x 216/125) + (2401/343  x 1296/216) } / {(- 25/36 x 6/5) + (- 4/9 x 81/64)} Solve the expression part by part: ( 25/36 x 216/125) = 25/36 x 216/125 = 6/5

(2401/343 x 1296/216) = 7 x 6 = 42

  • 25/36 x 6/5 = - 5/6
  • 4/9 x 81/64 = - 9/16 Therefore, the required value of the expression is    6/5 + 42 / - 5/6 - 9/16  = {(216/5) / {(- 40 - 27)/48} = - 216/5 x 48/67