Compare 2/27 and 21/63
2/27 is smaller than 21/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 63 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
2/27 = 2 × 7/27 × 7 = 14/189 - Likewise, for the 2nd fraction, since 63 × 3 = 189,
21/63 = 21 × 3/63 × 3 = 63/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/189 < 63/189 or 2/27 < 21/63
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