Compare 30/14 and 42/18
1st number: 2 2/14, 2nd number: 2 6/18
30/14 is smaller than 42/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
30/14 = 30 × 9/14 × 9 = 270/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
42/18 = 42 × 7/18 × 7 = 294/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/126 < 294/126 or 30/14 < 42/18
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