Compare 2/9 and 36/50
2/9 is smaller than 36/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 50 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 9 × 50 = 450,
2/9 = 2 × 50/9 × 50 = 100/450 - Likewise, for the 2nd fraction, since 50 × 9 = 450,
36/50 = 36 × 9/50 × 9 = 324/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/450 < 324/450 or 2/9 < 36/50
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