Compare 5/14 and 16/30
5/14 is smaller than 16/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
5/14 = 5 × 15/14 × 15 = 75/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
16/30 = 16 × 7/30 × 7 = 112/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/210 < 112/210 or 5/14 < 16/30
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