Compare 30/60 and 14/75
30/60 is greater than 14/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 60 × 5 = 300,
30/60 = 30 × 5/60 × 5 = 150/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
14/75 = 14 × 4/75 × 4 = 56/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/300 > 56/300 or 30/60 > 14/75
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