Compare 8/45 and 35/80
8/45 is smaller than 35/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 80 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
8/45 = 8 × 16/45 × 16 = 128/720 - Likewise, for the 2nd fraction, since 80 × 9 = 720,
35/80 = 35 × 9/80 × 9 = 315/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/720 < 315/720 or 8/45 < 35/80
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