Compare 4/30 and 28/84
4/30 is smaller than 28/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
4/30 = 4 × 14/30 × 14 = 56/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
28/84 = 28 × 5/84 × 5 = 140/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/420 < 140/420 or 4/30 < 28/84
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