Compare 9/75 and 42/45
9/75 is smaller than 42/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 45 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
9/75 = 9 × 3/75 × 3 = 27/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
42/45 = 42 × 5/45 × 5 = 210/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/225 < 210/225 or 9/75 < 42/45
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