Compare 2/75 and 1/36
2/75 is smaller than 1/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 36 is 900
Next, find the equivalent fraction of both fractional numbers with denominator 900 - For the 1st fraction, since 75 × 12 = 900,
2/75 = 2 × 12/75 × 12 = 24/900 - Likewise, for the 2nd fraction, since 36 × 25 = 900,
1/36 = 1 × 25/36 × 25 = 25/900 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/900 < 25/900 or 2/75 < 1/36
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