Compare 8/32 and 21/35
8/32 is smaller than 21/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 35 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 32 × 35 = 1120,
8/32 = 8 × 35/32 × 35 = 280/1120 - Likewise, for the 2nd fraction, since 35 × 32 = 1120,
21/35 = 21 × 32/35 × 32 = 672/1120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/1120 < 672/1120 or 8/32 < 21/35
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