Compare 14/35 and 20/21
14/35 is smaller than 20/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 35 × 3 = 105,
14/35 = 14 × 3/35 × 3 = 42/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
20/21 = 20 × 5/21 × 5 = 100/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/105 < 100/105 or 14/35 < 20/21
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