Compare 30/40 and 2/3
30/40 is greater than 2/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 3 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
30/40 = 30 × 3/40 × 3 = 90/120 - Likewise, for the 2nd fraction, since 3 × 40 = 120,
2/3 = 2 × 40/3 × 40 = 80/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/120 > 80/120 or 30/40 > 2/3
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