Compare 21/8 and 84/40
1st number: 2 5/8, 2nd number: 2 4/40
21/8 is greater than 84/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 40 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 8 × 5 = 40,
21/8 = 21 × 5/8 × 5 = 105/40 - Likewise, for the 2nd fraction, since 40 × 1 = 40,
84/40 = 84 × 1/40 × 1 = 84/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/40 > 84/40 or 21/8 > 84/40
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