Compare 36/5 and 56/6
1st number: 7 1/5, 2nd number: 9 2/6
36/5 is smaller than 56/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 6 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 5 × 6 = 30,
36/5 = 36 × 6/5 × 6 = 216/30 - Likewise, for the 2nd fraction, since 6 × 5 = 30,
56/6 = 56 × 5/6 × 5 = 280/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 216/30 < 280/30 or 36/5 < 56/6
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