Compare 4/27 and 45/21
1st number: 4/27, 2nd number: 2 3/21
4/27 is smaller than 45/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
4/27 = 4 × 7/27 × 7 = 28/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
45/21 = 45 × 9/21 × 9 = 405/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/189 < 405/189 or 4/27 < 45/21
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