Compare 1/30 and 36/18
1st number: 1/30, 2nd number: 2 0/18
1/30 is smaller than 36/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 18 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
1/30 = 1 × 3/30 × 3 = 3/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
36/18 = 36 × 5/18 × 5 = 180/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3/90 < 180/90 or 1/30 < 36/18
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