Compare 30/60 and 6/9
30/60 is smaller than 6/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 9 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 60 × 3 = 180,
30/60 = 30 × 3/60 × 3 = 90/180 - Likewise, for the 2nd fraction, since 9 × 20 = 180,
6/9 = 6 × 20/9 × 20 = 120/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/180 < 120/180 or 30/60 < 6/9
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