Compare 3/42 and 49/4
1st number: 3/42, 2nd number: 12 1/4
3/42 is smaller than 49/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 4 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 42 × 2 = 84,
3/42 = 3 × 2/42 × 2 = 6/84 - Likewise, for the 2nd fraction, since 4 × 21 = 84,
49/4 = 49 × 21/4 × 21 = 1029/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/84 < 1029/84 or 3/42 < 49/4
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