Compare 2/4 and 60/75
2/4 is smaller than 60/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 4 × 75 = 300,
2/4 = 2 × 75/4 × 75 = 150/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
60/75 = 60 × 4/75 × 4 = 240/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/300 < 240/300 or 2/4 < 60/75
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