Compare 6/9 and 30/36
6/9 is smaller than 30/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 36 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
6/9 = 6 × 4/9 × 4 = 24/36 - Likewise, for the 2nd fraction, since 36 × 1 = 36,
30/36 = 30 × 1/36 × 1 = 30/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/36 < 30/36 or 6/9 < 30/36
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