Compare 3/20 and 9/45
3/20 is smaller than 9/45
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,
3/20 = 3 × 9/20 × 9 = 27/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
9/45 = 9 × 4/45 × 4 = 36/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/180 < 36/180 or 3/20 < 9/45
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