Compare 2/3 and 7/30
2/3 is greater than 7/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 30 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 3 × 10 = 30,
2/3 = 2 × 10/3 × 10 = 20/30 - Likewise, for the 2nd fraction, since 30 × 1 = 30,
7/30 = 7 × 1/30 × 1 = 7/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/30 > 7/30 or 2/3 > 7/30
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