Compare 30/4 and 72/7
1st number: 7 2/4, 2nd number: 10 2/7
30/4 is smaller than 72/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
30/4 = 30 × 7/4 × 7 = 210/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
72/7 = 72 × 4/7 × 4 = 288/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/28 < 288/28 or 30/4 < 72/7
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