Compare 3/6 and 30/75
3/6 is greater than 30/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 6 × 25 = 150,
3/6 = 3 × 25/6 × 25 = 75/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
30/75 = 30 × 2/75 × 2 = 60/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/150 > 60/150 or 3/6 > 30/75
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