Compare 98/75 and 30/42
1st number: 1 23/75, 2nd number: 30/42
98/75 is greater than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
98/75 = 98 × 14/75 × 14 = 1372/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
30/42 = 30 × 25/42 × 25 = 750/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1372/1050 > 750/1050 or 98/75 > 30/42
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