Compare 2/42 and 8/16
2/42 is smaller than 8/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 42 × 8 = 336,
2/42 = 2 × 8/42 × 8 = 16/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
8/16 = 8 × 21/16 × 21 = 168/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/336 < 168/336 or 2/42 < 8/16
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