Compare 30/12 and 9/75
1st number: 2 6/12, 2nd number: 9/75
30/12 is greater than 9/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 12 × 25 = 300,
30/12 = 30 × 25/12 × 25 = 750/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
9/75 = 9 × 4/75 × 4 = 36/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 750/300 > 36/300 or 30/12 > 9/75
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