Compare 2/75 and 81/4
1st number: 2/75, 2nd number: 20 1/4
2/75 is smaller than 81/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 4 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
2/75 = 2 × 4/75 × 4 = 8/300 - Likewise, for the 2nd fraction, since 4 × 75 = 300,
81/4 = 81 × 75/4 × 75 = 6075/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/300 < 6075/300 or 2/75 < 81/4
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