Compare 30/7 and 42/18
1st number: 4 2/7, 2nd number: 2 6/18
30/7 is greater than 42/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 7 × 18 = 126,
30/7 = 30 × 18/7 × 18 = 540/126 - 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
- 540/126 > 294/126 or 30/7 > 42/18
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