Compare 35/10 and 40/9
1st number: 3 5/10, 2nd number: 4 4/9
35/10 is smaller than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 10 × 9 = 90,
35/10 = 35 × 9/10 × 9 = 315/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
40/9 = 40 × 10/9 × 10 = 400/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/90 < 400/90 or 35/10 < 40/9
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