Compare 30/48 and 9/75
30/48 is greater than 9/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 48 × 25 = 1200,
30/48 = 30 × 25/48 × 25 = 750/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
9/75 = 9 × 16/75 × 16 = 144/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 750/1200 > 144/1200 or 30/48 > 9/75
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