Compare 25/7 and 30/40
1st number: 3 4/7, 2nd number: 30/40
25/7 is greater than 30/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
25/7 = 25 × 40/7 × 40 = 1000/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1000/280 > 210/280 or 25/7 > 30/40
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