Compare 4/75 and 2/5
4/75 is smaller than 2/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 5 is 75
Next, find the equivalent fraction of both fractional numbers with denominator 75 - For the 1st fraction, since 75 × 1 = 75,
4/75 = 4 × 1/75 × 1 = 4/75 - Likewise, for the 2nd fraction, since 5 × 15 = 75,
2/5 = 2 × 15/5 × 15 = 30/75 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/75 < 30/75 or 4/75 < 2/5
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