Compare 3/75 and 12/40
3/75 is smaller than 12/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
3/75 = 3 × 8/75 × 8 = 24/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
12/40 = 12 × 15/40 × 15 = 180/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/600 < 180/600 or 3/75 < 12/40
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