Compare 30/9 and 40/14
1st number: 3 3/9, 2nd number: 2 12/14
30/9 is greater than 40/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
30/9 = 30 × 14/9 × 14 = 420/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
40/14 = 40 × 9/14 × 9 = 360/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 420/126 > 360/126 or 30/9 > 40/14
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