WAEC 2023 · Paper 1 · Q11

Number foundations & fractions

If $m : n = 2\frac13 : 1\frac15$ and $n : q = 1\frac12 : 1\frac13$ , find $q : m$ .

Worked solution (try it first)

Clear the fractions.
$m : n = \frac73 : \frac65$ .
Multiply by 15 to get $35 : 18$ .
$n : q = \frac32 : \frac43$ .
Multiply by 6 to get $9 : 8$ .
Make the $n$ values the same: $9 : 8 = 18 : 16$ .
So $m : n : q = 35 : 18 : 16$ .
So $q : m = 16 : 35$ , option A.

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