Question

NEED HELP W/ THIS ACT Q. PLEASE: If m and n are positive integers such that 2/3 of m is equal to 1/2 of n, then m is what fractional part of n??

A. 1/3
B. 3/5
C. 3/4
D. 4/3
E. 5/3

Answer 1

m and n

(2/3)m = (1/2)n
m = (3/2)(1/2) n
m = (3/4)n

I down to C or D. I would say m is _______ of n.

Answer 2

Form the ratio \[\frac{ m }{ n }=\frac{ \frac{ 3n }{ 4 } }{ n }\] and reduce this.

Answer 3

@mathmale do I choose numbers for m and n and then solve it?

Answer 4

Try cancelling those two n's. The whole point here was to eliminate m, so no, do not choose a valule for m.