Compare 6/40 and 30/96
6/40 is smaller than 30/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 96 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 40 × 12 = 480,
6/40 = 6 × 12/40 × 12 = 72/480 - Likewise, for the 2nd fraction, since 96 × 5 = 480,
30/96 = 30 × 5/96 × 5 = 150/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/480 < 150/480 or 6/40 < 30/96
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