Compare 9/75 and 3/20
9/75 is smaller than 3/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 20 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
9/75 = 9 × 4/75 × 4 = 36/300 - Likewise, for the 2nd fraction, since 20 × 15 = 300,
3/20 = 3 × 15/20 × 15 = 45/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/300 < 45/300 or 9/75 < 3/20
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