Compare 1/30 and 40/75
1/30 is smaller than 40/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 30 × 5 = 150,
1/30 = 1 × 5/30 × 5 = 5/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
40/75 = 40 × 2/75 × 2 = 80/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 5/150 < 80/150 or 1/30 < 40/75
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