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Elena L [17]
3 years ago
7

can you assume that any fraction is in simplest form if either the numerator or denominator is a prime number?

Mathematics
2 answers:
kenny6666 [7]3 years ago
5 0

In most cases, if both the numerator and the denominator of a fraction are prime for example in the fraction 2/5 the greatest common factor of the numerator and denominator will be 1 which means that the fraction is in lowest terms.

However, if the numerator and the denominator are the same prime number for example 7/7 the fraction is not in lowest terms because the greatest common factor is the prime number in this case 7.

7/7 can be written in lowest terms as 1/1 therefore if the numerator and denominator of a fraction are both prime, the fraction is not always in lowest terms so the given statement is false.

vesna_86 [32]3 years ago
4 0

Answer:

some occasions yes and other no for example if a fraction was 3/9 the numerator is prime but the fraction can still be simplified to 1/3 but a number were 3/5 then you wouldn't be able to simplify it


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f(1+ 1) = 2f(1) - 1 \\ f(2) = 2 \times 3 - 1 \\ f(2) = 6 - 1 \\ f(2) = 5

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