Compare 12/80 and 40/30
1st number: 12/80, 2nd number: 1 10/30
12/80 is smaller than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 30 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 80 × 3 = 240,
12/80 = 12 × 3/80 × 3 = 36/240 - Likewise, for the 2nd fraction, since 30 × 8 = 240,
40/30 = 40 × 8/30 × 8 = 320/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/240 < 320/240 or 12/80 < 40/30
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