Compare 2/30 and 6/72
2/30 is smaller than 6/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 72 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 30 × 12 = 360,
2/30 = 2 × 12/30 × 12 = 24/360 - Likewise, for the 2nd fraction, since 72 × 5 = 360,
6/72 = 6 × 5/72 × 5 = 30/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/360 < 30/360 or 2/30 < 6/72
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