Compare 40/9 and 35/4
1st number: 4 4/9, 2nd number: 8 3/4
40/9 is smaller than 35/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 4 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
40/9 = 40 × 4/9 × 4 = 160/36 - Likewise, for the 2nd fraction, since 4 × 9 = 36,
35/4 = 35 × 9/4 × 9 = 315/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/36 < 315/36 or 40/9 < 35/4
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