Compare 4/45 and 30/96
4/45 is smaller than 30/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 96 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 45 × 32 = 1440,
4/45 = 4 × 32/45 × 32 = 128/1440 - Likewise, for the 2nd fraction, since 96 × 15 = 1440,
30/96 = 30 × 15/96 × 15 = 450/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/1440 < 450/1440 or 4/45 < 30/96
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