Compare 10/27 and 36/96
10/27 is smaller than 36/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 96 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 27 × 32 = 864,
10/27 = 10 × 32/27 × 32 = 320/864 - Likewise, for the 2nd fraction, since 96 × 9 = 864,
36/96 = 36 × 9/96 × 9 = 324/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/864 < 324/864 or 10/27 < 36/96
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