Compare 20/75 and 40/45
20/75 is smaller than 40/45
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,
20/75 = 20 × 3/75 × 3 = 60/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
40/45 = 40 × 5/45 × 5 = 200/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/225 < 200/225 or 20/75 < 40/45
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