Compare 30/50 and 10/14
30/50 is smaller than 10/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 14 is 350
Next, find the equivalent fraction of both fractional numbers with denominator 350 - For the 1st fraction, since 50 × 7 = 350,
30/50 = 30 × 7/50 × 7 = 210/350 - Likewise, for the 2nd fraction, since 14 × 25 = 350,
10/14 = 10 × 25/14 × 25 = 250/350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/350 < 250/350 or 30/50 < 10/14
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