Compare 2/6 and 60/75
2/6 is smaller than 60/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 6 × 25 = 150,
2/6 = 2 × 25/6 × 25 = 50/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
60/75 = 60 × 2/75 × 2 = 120/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/150 < 120/150 or 2/6 < 60/75
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