Compare 30/50 and 84/98
30/50 is smaller than 84/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 98 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 50 × 49 = 2450,
30/50 = 30 × 49/50 × 49 = 1470/2450 - Likewise, for the 2nd fraction, since 98 × 25 = 2450,
84/98 = 84 × 25/98 × 25 = 2100/2450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1470/2450 < 2100/2450 or 30/50 < 84/98
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