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JAMB 2010 · UTME · Q6

If p:q=23:56p : q = \frac23 : \frac56 and q:r=34:12q : r = \frac34 : \frac12, find p:q:rp : q : r.

Worked solution (try it first)
  1. Clear the fractions.
  2. Multiply 23:56\frac23 : \frac56 by 6: p:q=4:5p : q = 4 : 5.
  3. Multiply 34:12\frac34 : \frac12 by 4: q:r=3:2q : r = 3 : 2.
  4. Make the two qq values the same.
  5. The LCM of 5 and 3 is 15, so p:q=12:15p : q = 12 : 15 and q:r=15:10q : r = 15 : 10.
  6. So p:q:r=12:15:10p : q : r = 12 : 15 : 10, option C.

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