Compare 1/42 and 27/8
1st number: 1/42, 2nd number: 3 3/8
1/42 is smaller than 27/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 8 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 42 × 4 = 168,
1/42 = 1 × 4/42 × 4 = 4/168 - Likewise, for the 2nd fraction, since 8 × 21 = 168,
27/8 = 27 × 21/8 × 21 = 567/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/168 < 567/168 or 1/42 < 27/8
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