Compare 30/80 and 8/3
1st number: 30/80, 2nd number: 2 2/3
30/80 is smaller than 8/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 3 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 80 × 3 = 240,
30/80 = 30 × 3/80 × 3 = 90/240 - Likewise, for the 2nd fraction, since 3 × 80 = 240,
8/3 = 8 × 80/3 × 80 = 640/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/240 < 640/240 or 30/80 < 8/3
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