Compare 10/14 and 30/96
10/14 is greater than 30/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 14 × 48 = 672,
10/14 = 10 × 48/14 × 48 = 480/672 - 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
- 480/672 > 210/672 or 10/14 > 30/96
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