Compare 10/3 and 30/49
1st number: 3 1/3, 2nd number: 30/49
10/3 is greater than 30/49
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,
10/3 = 10 × 49/3 × 49 = 490/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
30/49 = 30 × 3/49 × 3 = 90/147 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/147 > 90/147 or 10/3 > 30/49
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