Compare 40/30 and 49/6
1st number: 1 10/30, 2nd number: 8 1/6
40/30 is smaller than 49/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 6 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 30 × 1 = 30,
40/30 = 40 × 1/30 × 1 = 40/30 - Likewise, for the 2nd fraction, since 6 × 5 = 30,
49/6 = 49 × 5/6 × 5 = 245/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/30 < 245/30 or 40/30 < 49/6
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