Compare 30/90 and 42/96
30/90 is smaller than 42/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 96 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 90 × 16 = 1440,
30/90 = 30 × 16/90 × 16 = 480/1440 - Likewise, for the 2nd fraction, since 96 × 15 = 1440,
42/96 = 42 × 15/96 × 15 = 630/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/1440 < 630/1440 or 30/90 < 42/96
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