Compare 30/75 and 20/45
30/75 is smaller than 20/45
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,
30/75 = 30 × 3/75 × 3 = 90/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
20/45 = 20 × 5/45 × 5 = 100/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/225 < 100/225 or 30/75 < 20/45
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