Compare 4/20 and 30/84
4/20 is smaller than 30/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
4/20 = 4 × 21/20 × 21 = 84/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/420 < 150/420 or 4/20 < 30/84
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