Compare 2/3 and 40/75
2/3 is greater than 40/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 75 is 75
Next, find the equivalent fraction of both fractional numbers with denominator 75 - For the 1st fraction, since 3 × 25 = 75,
2/3 = 2 × 25/3 × 25 = 50/75 - Likewise, for the 2nd fraction, since 75 × 1 = 75,
40/75 = 40 × 1/75 × 1 = 40/75 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/75 > 40/75 or 2/3 > 40/75
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