Compare 18/45 and 21/18
1st number: 18/45, 2nd number: 1 3/18
18/45 is smaller than 21/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 18 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
18/45 = 18 × 2/45 × 2 = 36/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
21/18 = 21 × 5/18 × 5 = 105/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/90 < 105/90 or 18/45 < 21/18
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