Compare 30/28 and 49/10
1st number: 1 2/28, 2nd number: 4 9/10
30/28 is smaller than 49/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 10 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 28 × 5 = 140,
30/28 = 30 × 5/28 × 5 = 150/140 - Likewise, for the 2nd fraction, since 10 × 14 = 140,
49/10 = 49 × 14/10 × 14 = 686/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/140 < 686/140 or 30/28 < 49/10
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