Compare 30/75 and 98/20
1st number: 30/75, 2nd number: 4 18/20
30/75 is smaller than 98/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 20 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
30/75 = 30 × 4/75 × 4 = 120/300 - Likewise, for the 2nd fraction, since 20 × 15 = 300,
98/20 = 98 × 15/20 × 15 = 1470/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/300 < 1470/300 or 30/75 < 98/20
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