Compare 30/75 and 9/8
1st number: 30/75, 2nd number: 1 1/8
30/75 is smaller than 9/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 8 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
30/75 = 30 × 8/75 × 8 = 240/600 - Likewise, for the 2nd fraction, since 8 × 75 = 600,
9/8 = 9 × 75/8 × 75 = 675/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/600 < 675/600 or 30/75 < 9/8
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