Question

Which value of a would make the expression 5 1/3 divided by 4/a equivalent to a whole number?

Answer 1

9514 1404 393

Answer:

  a = any positive multiple of 3

Step-by-step explanation:

You want ...

  (5 1/3)/(4/a) = whole number

  (16/3)·(a/4) = whole number

  (4a/3) = whole number

This will be the case for a = 3n, for any positive integer n.