Compare 8/9 and 7/21
8/9 is greater than 7/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 21 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
8/9 = 8 × 7/9 × 7 = 56/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
7/21 = 7 × 3/21 × 3 = 21/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/63 > 21/63 or 8/9 > 7/21
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