Compare 30/28 and 56/49
1st number: 1 2/28, 2nd number: 1 7/49
30/28 is smaller than 56/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 28 × 7 = 196,
30/28 = 30 × 7/28 × 7 = 210/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
56/49 = 56 × 4/49 × 4 = 224/196 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/196 < 224/196 or 30/28 < 56/49
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