Compare 10/3 and 40/56
1st number: 3 1/3, 2nd number: 40/56
10/3 is greater than 40/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 3 × 56 = 168,
10/3 = 10 × 56/3 × 56 = 560/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
40/56 = 40 × 3/56 × 3 = 120/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/168 > 120/168 or 10/3 > 40/56
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