Compare 21/54 and 30/45
21/54 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 45 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 54 × 5 = 270,
21/54 = 21 × 5/54 × 5 = 105/270 - Likewise, for the 2nd fraction, since 45 × 6 = 270,
30/45 = 30 × 6/45 × 6 = 180/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/270 < 180/270 or 21/54 < 30/45
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