Compare 36/80 and 3/75
36/80 is greater than 3/75
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,
36/80 = 36 × 15/80 × 15 = 540/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
3/75 = 3 × 16/75 × 16 = 48/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 540/1200 > 48/1200 or 36/80 > 3/75
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