Compare 8/27 and 25/32
8/27 is smaller than 25/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 32 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 27 × 32 = 864,
8/27 = 8 × 32/27 × 32 = 256/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
25/32 = 25 × 27/32 × 27 = 675/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 256/864 < 675/864 or 8/27 < 25/32
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