Compare 1/75 and 10/30
1/75 is smaller than 10/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 30 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
1/75 = 1 × 2/75 × 2 = 2/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
10/30 = 10 × 5/30 × 5 = 50/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2/150 < 50/150 or 1/75 < 10/30
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