Compare 2/16 and 30/50
2/16 is smaller than 30/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 50 is 400
Next, find the equivalent fraction of both fractional numbers with denominator 400 - For the 1st fraction, since 16 × 25 = 400,
2/16 = 2 × 25/16 × 25 = 50/400 - Likewise, for the 2nd fraction, since 50 × 8 = 400,
30/50 = 30 × 8/50 × 8 = 240/400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/400 < 240/400 or 2/16 < 30/50
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