Compare 27/7 and 30/72
1st number: 3 6/7, 2nd number: 30/72
27/7 is greater than 30/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 7 × 72 = 504,
27/7 = 27 × 72/7 × 72 = 1944/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
30/72 = 30 × 7/72 × 7 = 210/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1944/504 > 210/504 or 27/7 > 30/72
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