Answers

Compare 30/84 and 70/96

30/84 is smaller than 70/96

Steps for comparing fractions

1. 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
2. For the 1st fraction, since 84 × 8 = 672,
   30/84 = 30 × 8/84 × 8 = 240/672
3. Likewise, for the 2nd fraction, since 96 × 7 = 672,
   70/96 = 70 × 7/96 × 7 = 490/672
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 240/672 < 490/672 or 30/84 < 70/96

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