Compare 3/42 and 42/60
3/42 is smaller than 42/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 42 × 10 = 420,
3/42 = 3 × 10/42 × 10 = 30/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
42/60 = 42 × 7/60 × 7 = 294/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/420 < 294/420 or 3/42 < 42/60
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