Compare 9/75 and 3/18
9/75 is smaller than 3/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
9/75 = 9 × 6/75 × 6 = 54/450 - Likewise, for the 2nd fraction, since 18 × 25 = 450,
3/18 = 3 × 25/18 × 25 = 75/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/450 < 75/450 or 9/75 < 3/18
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