Compare 30/16 and 56/3
1st number: 1 14/16, 2nd number: 18 2/3
30/16 is smaller than 56/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 3 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 3 × 16 = 48,
56/3 = 56 × 16/3 × 16 = 896/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/48 < 896/48 or 30/16 < 56/3
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