Compare 21/45 and 18/54
21/45 is greater than 18/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 45 × 6 = 270,
21/45 = 21 × 6/45 × 6 = 126/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
18/54 = 18 × 5/54 × 5 = 90/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/270 > 90/270 or 21/45 > 18/54
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