Compare 2/30 and 30/60
2/30 is smaller than 30/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 60 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
2/30 = 2 × 2/30 × 2 = 4/60 - Likewise, for the 2nd fraction, since 60 × 1 = 60,
30/60 = 30 × 1/60 × 1 = 30/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/60 < 30/60 or 2/30 < 30/60
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