Compare 1/21 and 50/56
1/21 is smaller than 50/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 21 × 8 = 168,
1/21 = 1 × 8/21 × 8 = 8/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
50/56 = 50 × 3/56 × 3 = 150/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/168 < 150/168 or 1/21 < 50/56
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