Compare 4/15 and 2/84
4/15 is greater than 2/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 15 × 28 = 420,
4/15 = 4 × 28/15 × 28 = 112/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
2/84 = 2 × 5/84 × 5 = 10/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/420 > 10/420 or 4/15 > 2/84
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