Compare 30/75 and 9/60
30/75 is greater than 9/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 60 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
30/75 = 30 × 4/75 × 4 = 120/300 - Likewise, for the 2nd fraction, since 60 × 5 = 300,
9/60 = 9 × 5/60 × 5 = 45/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/300 > 45/300 or 30/75 > 9/60
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