Compare 8/16 and 21/35
8/16 is smaller than 21/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 35 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 16 × 35 = 560,
8/16 = 8 × 35/16 × 35 = 280/560 - Likewise, for the 2nd fraction, since 35 × 16 = 560,
21/35 = 21 × 16/35 × 16 = 336/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/560 < 336/560 or 8/16 < 21/35
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