Compare 4/9 and 24/35
4/9 is smaller than 24/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
4/9 = 4 × 35/9 × 35 = 140/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
24/35 = 24 × 9/35 × 9 = 216/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/315 < 216/315 or 4/9 < 24/35
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