Compare 30/50 and 28/36
30/50 is smaller than 28/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 36 is 900
Next, find the equivalent fraction of both fractional numbers with denominator 900 - For the 1st fraction, since 50 × 18 = 900,
30/50 = 30 × 18/50 × 18 = 540/900 - Likewise, for the 2nd fraction, since 36 × 25 = 900,
28/36 = 28 × 25/36 × 25 = 700/900 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 540/900 < 700/900 or 30/50 < 28/36
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