Compare 30/28 and 21/8
1st number: 1 2/28, 2nd number: 2 5/8
30/28 is smaller than 21/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 28 × 2 = 56,
30/28 = 30 × 2/28 × 2 = 60/56 - Likewise, for the 2nd fraction, since 8 × 7 = 56,
21/8 = 21 × 7/8 × 7 = 147/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/56 < 147/56 or 30/28 < 21/8
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