Compare 2/3 and 75/60
1st number: 2/3, 2nd number: 1 15/60
2/3 is smaller than 75/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 60 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 3 × 20 = 60,
2/3 = 2 × 20/3 × 20 = 40/60 - Likewise, for the 2nd fraction, since 60 × 1 = 60,
75/60 = 75 × 1/60 × 1 = 75/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/60 < 75/60 or 2/3 < 75/60
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