Compare 30/42 and 27/7
1st number: 30/42, 2nd number: 3 6/7
30/42 is smaller than 27/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 7 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42 - Likewise, for the 2nd fraction, since 7 × 6 = 42,
27/7 = 27 × 6/7 × 6 = 162/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/42 < 162/42 or 30/42 < 27/7
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