Compare 40/5 and 81/7
1st number: 8 0/5, 2nd number: 11 4/7
40/5 is smaller than 81/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 7 is 35
Next, find the equivalent fraction of both fractional numbers with denominator 35 - For the 1st fraction, since 5 × 7 = 35,
40/5 = 40 × 7/5 × 7 = 280/35 - Likewise, for the 2nd fraction, since 7 × 5 = 35,
81/7 = 81 × 5/7 × 5 = 405/35 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/35 < 405/35 or 40/5 < 81/7
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