Compare 30/8 and 75/9
1st number: 3 6/8, 2nd number: 8 3/9
30/8 is smaller than 75/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 8 × 9 = 72,
30/8 = 30 × 9/8 × 9 = 270/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
75/9 = 75 × 8/9 × 8 = 600/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/72 < 600/72 or 30/8 < 75/9
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