Question

Which of the following fractions can be expressed as non-recurring decimals?

• A. $\frac{1}{2}$
• B. $\frac{4}{9}$
• C. $\frac{5}{8}$
• D. $\frac{3}{4}$

Answer 1

Answer: (A), (C), (D)

The correct options are
A $\frac{1}{2}$
C $\frac{5}{8}$
D $\frac{3}{4}$

Non-recurring decimals are decimals whose fractions' denominator can be written as powers of 10.

Here, the fractions $\frac{1}{2}$, $\frac{5}{8}$ and $\frac{3}{4}$ can be written as $\frac{5}{10}$, $\frac{625}{1000}$ and $\frac{75}{100}$ respectively.

The fractions $\frac{4}{9}$ and $\frac{1}{7}$ cannot be expressed as above.

So, decimal form of the fractions $\frac{1}{2}$, $\frac{5}{8}$ and $\frac{3}{4}$ are the non-recurring decimals.