Compare 20/3 and 36/42
1st number: 6 2/3, 2nd number: 36/42
20/3 is greater than 36/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
20/3 = 20 × 14/3 × 14 = 280/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
36/42 = 36 × 1/42 × 1 = 36/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/42 > 36/42 or 20/3 > 36/42
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