Compare 14/4 and 30/75
1st number: 3 2/4, 2nd number: 30/75
14/4 is greater than 30/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 4 × 75 = 300,
14/4 = 14 × 75/4 × 75 = 1050/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
30/75 = 30 × 4/75 × 4 = 120/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1050/300 > 120/300 or 14/4 > 30/75
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