Compare 2/60 and 30/45
2/60 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 60 × 3 = 180,
2/60 = 2 × 3/60 × 3 = 6/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
30/45 = 30 × 4/45 × 4 = 120/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/180 < 120/180 or 2/60 < 30/45
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