Compare 30/25 and 21/10
1st number: 1 5/25, 2nd number: 2 1/10
30/25 is smaller than 21/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 10 is 50
Next, find the equivalent fraction of both fractional numbers with denominator 50 - For the 1st fraction, since 25 × 2 = 50,
30/25 = 30 × 2/25 × 2 = 60/50 - Likewise, for the 2nd fraction, since 10 × 5 = 50,
21/10 = 21 × 5/10 × 5 = 105/50 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/50 < 105/50 or 30/25 < 21/10
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