Compare 14/30 and 84/9
1st number: 14/30, 2nd number: 9 3/9
14/30 is smaller than 84/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
14/30 = 14 × 3/30 × 3 = 42/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
84/9 = 84 × 10/9 × 10 = 840/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/90 < 840/90 or 14/30 < 84/9
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