Compare 3/25 and 30/42
3/25 is smaller than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 25 × 42 = 1050,
3/25 = 3 × 42/25 × 42 = 126/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
30/42 = 30 × 25/42 × 25 = 750/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/1050 < 750/1050 or 3/25 < 30/42
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