Compare 8/30 and 36/50
8/30 is smaller than 36/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 50 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 30 × 5 = 150,
8/30 = 8 × 5/30 × 5 = 40/150 - Likewise, for the 2nd fraction, since 50 × 3 = 150,
36/50 = 36 × 3/50 × 3 = 108/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/150 < 108/150 or 8/30 < 36/50
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