Compare 1/6 and 75/56
1st number: 1/6, 2nd number: 1 19/56
1/6 is smaller than 75/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 6 × 28 = 168,
1/6 = 1 × 28/6 × 28 = 28/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
75/56 = 75 × 3/56 × 3 = 225/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/168 < 225/168 or 1/6 < 75/56
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