Compare 40/3 and 10/49
1st number: 13 1/3, 2nd number: 10/49
40/3 is greater than 10/49
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,
40/3 = 40 × 49/3 × 49 = 1960/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
10/49 = 10 × 3/49 × 3 = 30/147 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1960/147 > 30/147 or 40/3 > 10/49
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