Compare 30/84 and 50/21
1st number: 30/84, 2nd number: 2 8/21
30/84 is smaller than 50/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
30/84 = 30 × 1/84 × 1 = 30/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
50/21 = 50 × 4/21 × 4 = 200/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/84 < 200/84 or 30/84 < 50/21
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