Compare 3/14 and 35/50
3/14 is smaller than 35/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 50 is 350
Next, find the equivalent fraction of both fractional numbers with denominator 350 - For the 1st fraction, since 14 × 25 = 350,
3/14 = 3 × 25/14 × 25 = 75/350 - Likewise, for the 2nd fraction, since 50 × 7 = 350,
35/50 = 35 × 7/50 × 7 = 245/350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/350 < 245/350 or 3/14 < 35/50
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