Compare 8/5 and 21/84
1st number: 1 3/5, 2nd number: 21/84
8/5 is greater than 21/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
8/5 = 8 × 84/5 × 84 = 672/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
21/84 = 21 × 5/84 × 5 = 105/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 672/420 > 105/420 or 8/5 > 21/84
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