Compare 8/21 and 50/49
1st number: 8/21, 2nd number: 1 1/49
8/21 is smaller than 50/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 21 × 7 = 147,
8/21 = 8 × 7/21 × 7 = 56/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
50/49 = 50 × 3/49 × 3 = 150/147 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/147 < 150/147 or 8/21 < 50/49
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