Compare 8/20 and 20/45
8/20 is smaller than 20/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
8/20 = 8 × 9/20 × 9 = 72/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
20/45 = 20 × 4/45 × 4 = 80/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/180 < 80/180 or 8/20 < 20/45
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