Compare 3/60 and 30/90
3/60 is smaller than 30/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 90 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 60 × 3 = 180,
3/60 = 3 × 3/60 × 3 = 9/180 - Likewise, for the 2nd fraction, since 90 × 2 = 180,
30/90 = 30 × 2/90 × 2 = 60/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/180 < 60/180 or 3/60 < 30/90
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