Question

$\frac{5}{27}$ has a terminating decimal , state true or false

• A. True
• B. False

Answer 1

The correct option is B

False

Given rational number is $\frac{5}{27}$

If the denominator of the rational number can be expressed in the form of $2^m\times 5^n$ then it has a terminating decimal

Since 27 = 3 x 3 x 3 = $3^3$ which cannot be expressed as $2^m\times 5^n$

$\therefore$ $\frac{5}{27}$ does not have a terminating decimal. Hence the given statement is false