Compare 5/75 and 5/72
5/75 is smaller than 5/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 72 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 75 × 24 = 1800,
5/75 = 5 × 24/75 × 24 = 120/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
5/72 = 5 × 25/72 × 25 = 125/1800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/1800 < 125/1800 or 5/75 < 5/72
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