Compare 40/30 and 30/25
1st number: 1 10/30, 2nd number: 1 5/25
40/30 is greater than 30/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 25 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 30 × 5 = 150,
40/30 = 40 × 5/30 × 5 = 200/150 - Likewise, for the 2nd fraction, since 25 × 6 = 150,
30/25 = 30 × 6/25 × 6 = 180/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/150 > 180/150 or 40/30 > 30/25
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