Compare 30/90 and 49/12
1st number: 30/90, 2nd number: 4 1/12
30/90 is smaller than 49/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 12 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 90 × 2 = 180,
30/90 = 30 × 2/90 × 2 = 60/180 - Likewise, for the 2nd fraction, since 12 × 15 = 180,
49/12 = 49 × 15/12 × 15 = 735/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/180 < 735/180 or 30/90 < 49/12
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