Compare 3/25 and 30/70
3/25 is smaller than 30/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 70 is 350
Next, find the equivalent fraction of both fractional numbers with denominator 350 - For the 1st fraction, since 25 × 14 = 350,
3/25 = 3 × 14/25 × 14 = 42/350 - Likewise, for the 2nd fraction, since 70 × 5 = 350,
30/70 = 30 × 5/70 × 5 = 150/350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/350 < 150/350 or 3/25 < 30/70
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