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Naddik [55]
3 years ago
15

Please express the fraction in the simplest form 8/14

Mathematics
1 answer:
mestny [16]3 years ago
5 0

Expressing a fraction in the simplest form means to simplify common factor in the numerator and the denominator.

To do so, let's find the prime factorization of both:

8=2^3=2\cdot 2\cdot 2,\quad 14=2\cdot 7

So, we can write the fraction as

\dfrac{8}{14}=\dfrac{2\cdot 2\cdot 2}{2\cdot 7}

We can simplify (i.e. cancel) a factor 2 appearing both in the numerator and denominator. We're left with

\dfrac{8}{14}=\dfrac{2\cdot 2}{7}=\dfrac{4}{7}

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