Compare 75/30 and 9/8
1st number: 2 15/30, 2nd number: 1 1/8
75/30 is greater than 9/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 8 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
75/30 = 75 × 4/30 × 4 = 300/120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
9/8 = 9 × 15/8 × 15 = 135/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/120 > 135/120 or 75/30 > 9/8
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