Compare 9/40 and 14/30
9/40 is smaller than 14/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 30 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
9/40 = 9 × 3/40 × 3 = 27/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
14/30 = 14 × 4/30 × 4 = 56/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/120 < 56/120 or 9/40 < 14/30
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