Compare 30/80 and 45/75
30/80 is smaller than 45/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 80 × 15 = 1200,
30/80 = 30 × 15/80 × 15 = 450/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
45/75 = 45 × 16/75 × 16 = 720/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/1200 < 720/1200 or 30/80 < 45/75
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