Compare 36/14 and 56/3
1st number: 2 8/14, 2nd number: 18 2/3
36/14 is smaller than 56/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 3 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
36/14 = 36 × 3/14 × 3 = 108/42 - Likewise, for the 2nd fraction, since 3 × 14 = 42,
56/3 = 56 × 14/3 × 14 = 784/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/42 < 784/42 or 36/14 < 56/3
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