Compare 2/75 and 21/35
2/75 is smaller than 21/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
2/75 = 2 × 7/75 × 7 = 14/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
21/35 = 21 × 15/35 × 15 = 315/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/525 < 315/525 or 2/75 < 21/35
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