Compare 54/49 and 30/18
1st number: 1 5/49, 2nd number: 1 12/18
54/49 is smaller than 30/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 18 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 49 × 18 = 882,
54/49 = 54 × 18/49 × 18 = 972/882 - Likewise, for the 2nd fraction, since 18 × 49 = 882,
30/18 = 30 × 49/18 × 49 = 1470/882 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 972/882 < 1470/882 or 54/49 < 30/18
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