Compare 3/2 and 70/27
1st number: 1 1/2, 2nd number: 2 16/27
3/2 is smaller than 70/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 2 × 27 = 54,
3/2 = 3 × 27/2 × 27 = 81/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
70/27 = 70 × 2/27 × 2 = 140/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/54 < 140/54 or 3/2 < 70/27
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