Compare 5/30 and 8/28
5/30 is smaller than 8/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
5/30 = 5 × 14/30 × 14 = 70/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
8/28 = 8 × 15/28 × 15 = 120/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/420 < 120/420 or 5/30 < 8/28
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