Compare 2/75 and 40/42
2/75 is smaller than 40/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
2/75 = 2 × 14/75 × 14 = 28/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
40/42 = 40 × 25/42 × 25 = 1000/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/1050 < 1000/1050 or 2/75 < 40/42
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