Compare 30/14 and 30/49
1st number: 2 2/14, 2nd number: 30/49
30/14 is greater than 30/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 14 × 7 = 98,
30/14 = 30 × 7/14 × 7 = 210/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
30/49 = 30 × 2/49 × 2 = 60/98 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/98 > 60/98 or 30/14 > 30/49
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