Compare 7/96 and 21/45
7/96 is smaller than 21/45
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,
7/96 = 7 × 15/96 × 15 = 105/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
21/45 = 21 × 32/45 × 32 = 672/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/1440 < 672/1440 or 7/96 < 21/45
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