Compare 7/84 and 20/30
7/84 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
7/84 = 7 × 5/84 × 5 = 35/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
20/30 = 20 × 14/30 × 14 = 280/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/420 < 280/420 or 7/84 < 20/30
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