Compare 64/9 and 21/8
1st number: 7 1/9, 2nd number: 2 5/8
64/9 is greater than 21/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 8 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
64/9 = 64 × 8/9 × 8 = 512/72 - Likewise, for the 2nd fraction, since 8 × 9 = 72,
21/8 = 21 × 9/8 × 9 = 189/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 512/72 > 189/72 or 64/9 > 21/8
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