Compare 1/6 and 42/49
1/6 is smaller than 42/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 6 × 49 = 294,
1/6 = 1 × 49/6 × 49 = 49/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
42/49 = 42 × 6/49 × 6 = 252/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/294 < 252/294 or 1/6 < 42/49
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