Question

Classify each fraction given below as decimal or vulgar fraction, proper or improper fraction and mixed fraction:
$\frac{13}{20}$

Answer 1

Step: Classifying whether the given fraction is decimal or vulgar fraction, proper or improper fraction and mixed fraction.

A fraction whose numerator is less than the denominator is called a proper fraction.

A fraction whose denominator is equal to 10, 100, 1000, etc, is known as a vulgar fraction.

Also, if a denominator of a fraction can be expressed as the 10 or as some higher power of 10, it is a decimal fraction.
This fraction can be rewritten as,
$\frac{13}{20}=\frac{13\times 5}{20\times 5}=\frac{65}{100}$
The given fraction $\frac{13}{20}$ has numerator less than the denominator and its denominator van be expressed as power of 10.

$\therefore$ $\frac{13}{20}$ is decimal and proper fraction.