Compare 9/50 and 8/16
9/50 is smaller than 8/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 16 is 400
Next, find the equivalent fraction of both fractional numbers with denominator 400 - For the 1st fraction, since 50 × 8 = 400,
9/50 = 9 × 8/50 × 8 = 72/400 - Likewise, for the 2nd fraction, since 16 × 25 = 400,
8/16 = 8 × 25/16 × 25 = 200/400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/400 < 200/400 or 9/50 < 8/16
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