Compare 21/30 and 45/27
1st number: 21/30, 2nd number: 1 18/27
21/30 is smaller than 45/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
21/30 = 21 × 9/30 × 9 = 189/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
45/27 = 45 × 10/27 × 10 = 450/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/270 < 450/270 or 21/30 < 45/27
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