Compare 30/84 and 45/42
1st number: 30/84, 2nd number: 1 3/42
30/84 is smaller than 45/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
30/84 = 30 × 1/84 × 1 = 30/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
45/42 = 45 × 2/42 × 2 = 90/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/84 < 90/84 or 30/84 < 45/42
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