Compare 10/75 and 20/72
10/75 is smaller than 20/72
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,
10/75 = 10 × 24/75 × 24 = 240/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
20/72 = 20 × 25/72 × 25 = 500/1800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/1800 < 500/1800 or 10/75 < 20/72
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