Compare 75/8 and 98/30
1st number: 9 3/8, 2nd number: 3 8/30
75/8 is greater than 98/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 30 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 8 × 15 = 120,
75/8 = 75 × 15/8 × 15 = 1125/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
98/30 = 98 × 4/30 × 4 = 392/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1125/120 > 392/120 or 75/8 > 98/30
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