Compare 21/45 and 9/14
21/45 is smaller than 9/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 14 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
21/45 = 21 × 14/45 × 14 = 294/630 - Likewise, for the 2nd fraction, since 14 × 45 = 630,
9/14 = 9 × 45/14 × 45 = 405/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/630 < 405/630 or 21/45 < 9/14
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