Compare 3/14 and 7/30
3/14 is smaller than 7/30
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,
3/14 = 3 × 15/14 × 15 = 45/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
7/30 = 7 × 7/30 × 7 = 49/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/210 < 49/210 or 3/14 < 7/30
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