Compare 40/75 and 2/6
40/75 is greater than 2/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 6 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
40/75 = 40 × 2/75 × 2 = 80/150 - Likewise, for the 2nd fraction, since 6 × 25 = 150,
2/6 = 2 × 25/6 × 25 = 50/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/150 > 50/150 or 40/75 > 2/6
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