Compare 8/21 and 45/63
8/21 is smaller than 45/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 63 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
8/21 = 8 × 3/21 × 3 = 24/63 - Likewise, for the 2nd fraction, since 63 × 1 = 63,
45/63 = 45 × 1/63 × 1 = 45/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/63 < 45/63 or 8/21 < 45/63
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