Compare 8/21 and 30/32
8/21 is smaller than 30/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 21 × 32 = 672,
8/21 = 8 × 32/21 × 32 = 256/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
30/32 = 30 × 21/32 × 21 = 630/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 256/672 < 630/672 or 8/21 < 30/32
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