Compare 36/30 and 18/9
1st number: 1 6/30, 2nd number: 2 0/9
36/30 is smaller than 18/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
36/30 = 36 × 3/30 × 3 = 108/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
18/9 = 18 × 10/9 × 10 = 180/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/90 < 180/90 or 36/30 < 18/9
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