Compare 1/72 and 30/7
1st number: 1/72, 2nd number: 4 2/7
1/72 is smaller than 30/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 7 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
1/72 = 1 × 7/72 × 7 = 7/504 - Likewise, for the 2nd fraction, since 7 × 72 = 504,
30/7 = 30 × 72/7 × 72 = 2160/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/504 < 2160/504 or 1/72 < 30/7
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