Compare 40/96 and 20/30
40/96 is smaller than 20/30
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,
40/96 = 40 × 5/96 × 5 = 200/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
20/30 = 20 × 16/30 × 16 = 320/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/480 < 320/480 or 40/96 < 20/30
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