Compare 3/30 and 9/36
3/30 is smaller than 9/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 30 × 6 = 180,
3/30 = 3 × 6/30 × 6 = 18/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
9/36 = 9 × 5/36 × 5 = 45/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/180 < 45/180 or 3/30 < 9/36
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