Compare 2/35 and 50/84
2/35 is smaller than 50/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
2/35 = 2 × 12/35 × 12 = 24/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
50/84 = 50 × 5/84 × 5 = 250/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/420 < 250/420 or 2/35 < 50/84
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