Compare 30/75 and 12/48
30/75 is greater than 12/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 48 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
30/75 = 30 × 16/75 × 16 = 480/1200 - Likewise, for the 2nd fraction, since 48 × 25 = 1200,
12/48 = 12 × 25/48 × 25 = 300/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/1200 > 300/1200 or 30/75 > 12/48
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