Compare 21/30 and 40/25
1st number: 21/30, 2nd number: 1 15/25
21/30 is smaller than 40/25
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,
21/30 = 21 × 5/30 × 5 = 105/150 - Likewise, for the 2nd fraction, since 25 × 6 = 150,
40/25 = 40 × 6/25 × 6 = 240/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/150 < 240/150 or 21/30 < 40/25
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