Compare 30/50 and 8/3
1st number: 30/50, 2nd number: 2 2/3
30/50 is smaller than 8/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 3 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 50 × 3 = 150,
30/50 = 30 × 3/50 × 3 = 90/150 - Likewise, for the 2nd fraction, since 3 × 50 = 150,
8/3 = 8 × 50/3 × 50 = 400/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/150 < 400/150 or 30/50 < 8/3
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