Compare 30/72 and 4/9
30/72 is smaller than 4/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 72 × 1 = 72,
30/72 = 30 × 1/72 × 1 = 30/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
4/9 = 4 × 8/9 × 8 = 32/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/72 < 32/72 or 30/72 < 4/9
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