Compare 2/50 and 24/84
2/50 is smaller than 24/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 50 × 42 = 2100,
2/50 = 2 × 42/50 × 42 = 84/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
24/84 = 24 × 25/84 × 25 = 600/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/2100 < 600/2100 or 2/50 < 24/84
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