Compare 14/56 and 14/75
14/56 is greater than 14/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 75 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 56 × 75 = 4200,
14/56 = 14 × 75/56 × 75 = 1050/4200 - Likewise, for the 2nd fraction, since 75 × 56 = 4200,
14/75 = 14 × 56/75 × 56 = 784/4200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1050/4200 > 784/4200 or 14/56 > 14/75
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