Compare 30/16 and 42/24
1st number: 1 14/16, 2nd number: 1 18/24
30/16 is greater than 42/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 24 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 16 × 3 = 48,
30/16 = 30 × 3/16 × 3 = 90/48 - Likewise, for the 2nd fraction, since 24 × 2 = 48,
42/24 = 42 × 2/24 × 2 = 84/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/48 > 84/48 or 30/16 > 42/24
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