Compare 8/35 and 20/45
8/35 is smaller than 20/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
8/35 = 8 × 9/35 × 9 = 72/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
20/45 = 20 × 7/45 × 7 = 140/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/315 < 140/315 or 8/35 < 20/45
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