Compare 40/96 and 30/27
1st number: 40/96, 2nd number: 1 3/27
40/96 is smaller than 30/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 27 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 96 × 9 = 864,
40/96 = 40 × 9/96 × 9 = 360/864 - Likewise, for the 2nd fraction, since 27 × 32 = 864,
30/27 = 30 × 32/27 × 32 = 960/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/864 < 960/864 or 40/96 < 30/27
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