Compare 7/30 and 6/75
7/30 is greater than 6/75
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,
7/30 = 7 × 5/30 × 5 = 35/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
6/75 = 6 × 2/75 × 2 = 12/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/150 > 12/150 or 7/30 > 6/75
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