Compare 3/80 and 20/30
3/80 is smaller than 20/30
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,
3/80 = 3 × 3/80 × 3 = 9/240 - 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
- 9/240 < 160/240 or 3/80 < 20/30
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