Compare 1/25 and 21/35
1/25 is smaller than 21/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 35 is 175
Next, find the equivalent fraction of both fractional numbers with denominator 175 - For the 1st fraction, since 25 × 7 = 175,
1/25 = 1 × 7/25 × 7 = 7/175 - Likewise, for the 2nd fraction, since 35 × 5 = 175,
21/35 = 21 × 5/35 × 5 = 105/175 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/175 < 105/175 or 1/25 < 21/35
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