Compare 45/16 and 45/75
1st number: 2 13/16, 2nd number: 45/75
45/16 is greater than 45/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 16 × 75 = 1200,
45/16 = 45 × 75/16 × 75 = 3375/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
45/75 = 45 × 16/75 × 16 = 720/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3375/1200 > 720/1200 or 45/16 > 45/75
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