Compare 2/3 and 75/42
1st number: 2/3, 2nd number: 1 33/42
2/3 is smaller than 75/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
2/3 = 2 × 14/3 × 14 = 28/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
75/42 = 75 × 1/42 × 1 = 75/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/42 < 75/42 or 2/3 < 75/42
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