Compare 30/9 and 75/8
1st number: 3 3/9, 2nd number: 9 3/8
30/9 is smaller than 75/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 8 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
30/9 = 30 × 8/9 × 8 = 240/72 - Likewise, for the 2nd fraction, since 8 × 9 = 72,
75/8 = 75 × 9/8 × 9 = 675/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/72 < 675/72 or 30/9 < 75/8
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