Compare 2/75 and 40/72
2/75 is smaller than 40/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 72 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 75 × 24 = 1800,
2/75 = 2 × 24/75 × 24 = 48/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
40/72 = 40 × 25/72 × 25 = 1000/1800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/1800 < 1000/1800 or 2/75 < 40/72
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