Compare 8/5 and 40/21
1st number: 1 3/5, 2nd number: 1 19/21
8/5 is smaller than 40/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 5 × 21 = 105,
8/5 = 8 × 21/5 × 21 = 168/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
40/21 = 40 × 5/21 × 5 = 200/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/105 < 200/105 or 8/5 < 40/21
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