Compare 14/3 and 36/49
1st number: 4 2/3, 2nd number: 36/49
14/3 is greater than 36/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 3 × 49 = 147,
14/3 = 14 × 49/3 × 49 = 686/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
36/49 = 36 × 3/49 × 3 = 108/147 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 686/147 > 108/147 or 14/3 > 36/49
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