Compare 4/9 and 21/30
4/9 is smaller than 21/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 30 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 9 × 10 = 90,
4/9 = 4 × 10/9 × 10 = 40/90 - Likewise, for the 2nd fraction, since 30 × 3 = 90,
21/30 = 21 × 3/30 × 3 = 63/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/90 < 63/90 or 4/9 < 21/30
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