Question

$\frac{35}{50}$ has a non-terminating decimal expansion.

• A. true
• B. false

Answer 1

Let us write the denominator of the given fraction as a product of its prime factors,

$50=2\times 5\times 5$

$=2\times 5^2$

So, we can observe that the denominator of the given fraction is of the for $2^m\times 5^n$ so, fraction $\frac{35}{50}$ will have terminating decimal expansion.

Hence, the given statement is false.