Compare 14/80 and 21/75
14/80 is smaller than 21/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 80 × 15 = 1200,
14/80 = 14 × 15/80 × 15 = 210/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
21/75 = 21 × 16/75 × 16 = 336/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/1200 < 336/1200 or 14/80 < 21/75
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