Compare 9/84 and 30/96
9/84 is smaller than 30/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 84 × 8 = 672,
9/84 = 9 × 8/84 × 8 = 72/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
30/96 = 30 × 7/96 × 7 = 210/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/672 < 210/672 or 9/84 < 30/96
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