Compare 12/30 and 56/80
12/30 is smaller than 56/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 80 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
12/30 = 12 × 8/30 × 8 = 96/240 - Likewise, for the 2nd fraction, since 80 × 3 = 240,
56/80 = 56 × 3/80 × 3 = 168/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/240 < 168/240 or 12/30 < 56/80
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