Compare 30/84 and 45/75
30/84 is smaller than 45/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
30/84 = 30 × 25/84 × 25 = 750/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
45/75 = 45 × 28/75 × 28 = 1260/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 750/2100 < 1260/2100 or 30/84 < 45/75
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