Compare 8/5 and 49/28
1st number: 1 3/5, 2nd number: 1 21/28
8/5 is smaller than 49/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 28 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 5 × 28 = 140,
8/5 = 8 × 28/5 × 28 = 224/140 - Likewise, for the 2nd fraction, since 28 × 5 = 140,
49/28 = 49 × 5/28 × 5 = 245/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/140 < 245/140 or 8/5 < 49/28
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