Compare 2/45 and 20/75
2/45 is smaller than 20/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 75 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 45 × 5 = 225,
2/45 = 2 × 5/45 × 5 = 10/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
20/75 = 20 × 3/75 × 3 = 60/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/225 < 60/225 or 2/45 < 20/75
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