Name: Arias

Who is asking: Student
Level: Middle


Hi Arias,

The convention for the order of operations when evaluating arithmetic expressions is

  1. Operations that are inside Parentheses

  2. Powers (Exponents)

  3. Division

  4. Multiplication

  5. Addition

  6. Subtraction
Some people remember this as PEDMAS.

Hence in your expression perform the divisions first then the multiplication, that is find  8/13 and  26/27 and then multiply them together. Hence, since 26 = 2 x 13, you get

A mathematician would never write 8/13*26/27. I would write (8/13)*(26/27) so that it is clear which operation to perform first.


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