Compare 21/50 and 30/45
21/50 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 45 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 50 × 9 = 450,
21/50 = 21 × 9/50 × 9 = 189/450 - Likewise, for the 2nd fraction, since 45 × 10 = 450,
30/45 = 30 × 10/45 × 10 = 300/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/450 < 300/450 or 21/50 < 30/45
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