Compare 21/25 and 40/30
1st number: 21/25, 2nd number: 1 10/30
21/25 is smaller than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 30 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 25 × 6 = 150,
21/25 = 21 × 6/25 × 6 = 126/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
40/30 = 40 × 5/30 × 5 = 200/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/150 < 200/150 or 21/25 < 40/30
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