Compare 3/50 and 35/84
3/50 is smaller than 35/84
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,
3/50 = 3 × 42/50 × 42 = 126/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
35/84 = 35 × 25/84 × 25 = 875/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/2100 < 875/2100 or 3/50 < 35/84
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