Compare 2/96 and 24/45
2/96 is smaller than 24/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 96 × 15 = 1440,
2/96 = 2 × 15/96 × 15 = 30/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
24/45 = 24 × 32/45 × 32 = 768/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/1440 < 768/1440 or 2/96 < 24/45
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