Compare 12/45 and 4/75
12/45 is greater than 4/75
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,
12/45 = 12 × 5/45 × 5 = 60/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
4/75 = 4 × 3/75 × 3 = 12/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/225 > 12/225 or 12/45 > 4/75
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