Compare 2/80 and 15/84
2/80 is smaller than 15/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 84 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 80 × 21 = 1680,
2/80 = 2 × 21/80 × 21 = 42/1680 - Likewise, for the 2nd fraction, since 84 × 20 = 1680,
15/84 = 15 × 20/84 × 20 = 300/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/1680 < 300/1680 or 2/80 < 15/84
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