Compare 30/42 and 21/3
1st number: 30/42, 2nd number: 7 0/3
30/42 is smaller than 21/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 3 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 3 × 14 = 42,
21/3 = 21 × 14/3 × 14 = 294/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/42 < 294/42 or 30/42 < 21/3
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