Question #9defc

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Question #9defc

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Answer 1 · 2016-05-06T12:43:16

see below

Explanation:

$\frac{13}{2}$ $13/2$ = Finite decimal
$\frac{11}{3}$ $11/3$ = Repeating decimal
$\frac{3}{5}$ $3/5$ = Finite decimal
$\frac{15}{6}$ $15/6$ = Finite decimal
$\frac{17}{7}$ $17/7$ = Repeating decimal
$\frac{15}{8}$ $15/8$ = Finite decimal

Every fraction is a rational number, so it cannot be an infinite decimal. Infinite decimal represent irrational numbers like $\sqrt{2}$ $sqrt(2)$

To check if a fraction is a finite or periodic (repeating) decimal you have to:

simplify the fraction
check the prime factorization of its denominator.

If the factorization consists only of $2$ $2$ and $5$ $5$ the fraction can be written as a finite decimal, else the fraction can be only written as a repeating (periodic) decimal.

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Question #9defc

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