Which fraction is smaller: 2/15 or 3/11?
Answers
Answered by
0
Answer:
2/15
Step-by-step explanation:
let us check it by cross multiplication.
2 * 11 = 22
3 * 15 = 45
Clearly, 25 is smaller. Hence, 2/15 is the smaller fraction.
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Answered by
1
3/11 already reduced to the lowest terms;
the numerator and denominator have no common prime factors:
3 is a prime number;
11 is a prime number;
2/15 already reduced to the lowest terms;
the numerator and denominator have no common prime factors:
2 is a prime number;
15 = 3 × 5;
, build them up to the same numerator.
Calculate LCM, the least common multiple of the fractions' numerators
LCM will be the common numerator of the compared fractions.
The prime factorization of the numerators:
3 is a prime number
2 is a prime number
Multiply all the unique prime factors, by the largest exponents:
LCM (3, 2) = 2 × 3 = 6
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