Compare 36/96 and 14/30
36/96 is smaller than 14/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 30 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 96 × 5 = 480,
36/96 = 36 × 5/96 × 5 = 180/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
14/30 = 14 × 16/30 × 16 = 224/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/480 < 224/480 or 36/96 < 14/30
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