Compare 12/16 and 20/30
12/16 is greater than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 30 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 16 × 15 = 240,
12/16 = 12 × 15/16 × 15 = 180/240 - Likewise, for the 2nd fraction, since 30 × 8 = 240,
20/30 = 20 × 8/30 × 8 = 160/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/240 > 160/240 or 12/16 > 20/30
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