Compare 12/72 and 45/75
12/72 is smaller than 45/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 75 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 72 × 25 = 1800,
12/72 = 12 × 25/72 × 25 = 300/1800 - Likewise, for the 2nd fraction, since 75 × 24 = 1800,
45/75 = 45 × 24/75 × 24 = 1080/1800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/1800 < 1080/1800 or 12/72 < 45/75
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