Compare 30/84 and 15/35
30/84 is smaller than 15/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
15/35 = 15 × 12/35 × 12 = 180/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/420 < 180/420 or 30/84 < 15/35
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