Compare 35/14 and 35/21
1st number: 2 7/14, 2nd number: 1 14/21
35/14 is greater than 35/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
35/14 = 35 × 3/14 × 3 = 105/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
35/21 = 35 × 2/21 × 2 = 70/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/42 > 70/42 or 35/14 > 35/21
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