Compare 30/50 and 40/30
1st number: 30/50, 2nd number: 1 10/30
30/50 is smaller than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 30 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 30 × 5 = 150,
40/30 = 40 × 5/30 × 5 = 200/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/150 < 200/150 or 30/50 < 40/30
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