Compare 10/75 and 20/60
10/75 is smaller than 20/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 60 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
10/75 = 10 × 4/75 × 4 = 40/300 - Likewise, for the 2nd fraction, since 60 × 5 = 300,
20/60 = 20 × 5/60 × 5 = 100/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/300 < 100/300 or 10/75 < 20/60
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