Compare 6/75 and 2/10
6/75 is smaller than 2/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 10 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
6/75 = 6 × 2/75 × 2 = 12/150 - Likewise, for the 2nd fraction, since 10 × 15 = 150,
2/10 = 2 × 15/10 × 15 = 30/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 12/150 < 30/150 or 6/75 < 2/10
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