Compare 8/25 and 21/32
8/25 is smaller than 21/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 32 is 800
Next, find the equivalent fraction of both fractional numbers with denominator 800 - For the 1st fraction, since 25 × 32 = 800,
8/25 = 8 × 32/25 × 32 = 256/800 - Likewise, for the 2nd fraction, since 32 × 25 = 800,
21/32 = 21 × 25/32 × 25 = 525/800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 256/800 < 525/800 or 8/25 < 21/32
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