Compare 75/16 and 14/9
1st number: 4 11/16, 2nd number: 1 5/9
75/16 is greater than 14/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
75/16 = 75 × 9/16 × 9 = 675/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
14/9 = 14 × 16/9 × 16 = 224/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/144 > 224/144 or 75/16 > 14/9
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