Compare 3/56 and 20/3
1st number: 3/56, 2nd number: 6 2/3
3/56 is smaller than 20/3
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,
3/56 = 3 × 3/56 × 3 = 9/168 - Likewise, for the 2nd fraction, since 3 × 56 = 168,
20/3 = 20 × 56/3 × 56 = 1120/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/168 < 1120/168 or 3/56 < 20/3
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