Hello members,
Since the purpose of this question is to practise estimation, I will explain here an interesting way. Start by multiplying denominator by 10 and see if numerator is greater than or less than denominator multiplied by 10. If numerator is less, half the (denominator*10) and see if it less or greater than the new numerator .
[162/33] , here 33x10=330, 330>162, 330/2=165, 165>162 (this means that numerator is around 4 times the denominator)
[203/39], here 39x10=390, 390>203, 390/2=195, 195<203 (this means that numerator is more than 5 times denominator)
[514/130], here 130x10=1300, 1300>514, 1300/2=650, 650 >514 (this means that numerator is less than 5 times and infact a little calculation will show that it is less than 4 times the numerator)
[480/88], here 88x10=880, 880>480, 880/2=440, 440<480 (this means that numerator is more than 5 times the denominator)
[1428/167], here 167x10=1670, 1670>1428, 1670/2=835, 835 < 1428 (this means that numerator is much more than 5 times the denominator)
By finding this strategy, we can see that [514][/130] yields the lowest fraction.