Compare 27/30 and 49/14
1st number: 27/30, 2nd number: 3 7/14
27/30 is smaller than 49/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
27/30 = 27 × 7/30 × 7 = 189/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
49/14 = 49 × 15/14 × 15 = 735/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/210 < 735/210 or 27/30 < 49/14
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