Compare 81/4 and 30/42
1st number: 20 1/4, 2nd number: 30/42
81/4 is greater than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
81/4 = 81 × 21/4 × 21 = 1701/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
30/42 = 30 × 2/42 × 2 = 60/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1701/84 > 60/84 or 81/4 > 30/42
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