Compare 10/35 and 8/9
10/35 is smaller than 8/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
10/35 = 10 × 9/35 × 9 = 90/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
8/9 = 8 × 35/9 × 35 = 280/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/315 < 280/315 or 10/35 < 8/9
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