Compare 36/56 and 56/3
1st number: 36/56, 2nd number: 18 2/3
36/56 is smaller than 56/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 3 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 56 × 3 = 168,
36/56 = 36 × 3/56 × 3 = 108/168 - Likewise, for the 2nd fraction, since 3 × 56 = 168,
56/3 = 56 × 56/3 × 56 = 3136/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/168 < 3136/168 or 36/56 < 56/3
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