Compare 4/30 and 9/75
4/30 is greater than 9/75
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,
4/30 = 4 × 5/30 × 5 = 20/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
9/75 = 9 × 2/75 × 2 = 18/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/150 > 18/150 or 4/30 > 9/75
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