Compare 21/84 and 14/72
21/84 is greater than 14/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 84 × 6 = 504,
21/84 = 21 × 6/84 × 6 = 126/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
14/72 = 14 × 7/72 × 7 = 98/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/504 > 98/504 or 21/84 > 14/72
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