Compare 12/30 and 49/16
1st number: 12/30, 2nd number: 3 1/16
12/30 is smaller than 49/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
12/30 = 12 × 8/30 × 8 = 96/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
49/16 = 49 × 15/16 × 15 = 735/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/240 < 735/240 or 12/30 < 49/16
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