Compare 30/72 and 15/84
30/72 is greater than 15/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 84 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
30/72 = 30 × 7/72 × 7 = 210/504 - Likewise, for the 2nd fraction, since 84 × 6 = 504,
15/84 = 15 × 6/84 × 6 = 90/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/504 > 90/504 or 30/72 > 15/84
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