Compare 18/28 and 24/75
18/28 is greater than 24/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 28 × 75 = 2100,
18/28 = 18 × 75/28 × 75 = 1350/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
24/75 = 24 × 28/75 × 28 = 672/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1350/2100 > 672/2100 or 18/28 > 24/75
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