Question

State which of the following fractions are proper, improper, or mixed:

(i)$\frac{15}{26}$,

(ii)$\frac{17}{12}$

(iii)$5\frac{2}{3}$

(iv) $\frac{6}{8}$

(v)$11\frac{5}{7}$

(vi)$\frac{117}{8}$

(vii)$\frac{222}{333}$

(viii)$\frac{531}{247}$

Answer 1

Proper fraction:-A fraction whose numerator is greater than zero but less than its denominator is called a proper fraction.

Improper fraction:-A fraction whose numerator is equal to or greater than its denominator is called an improper fraction.

Mixed fraction:-A number which consists of two parts: (i) a natural number (ii) a proper fraction is called a mixed fraction.

Proper Fraction	Improper Fraction	Mixed Fraction
(i)$\frac{15}{26}$	(ii)$\frac{17}{12}$	(iii)$5\frac{2}{3}$
(iv)$\frac{6}{8}$	(vi)$\frac{117}{8}$	(v)$11\frac{5}{7}$
(vii)$\frac{222}{333}$	(viii)$\frac{531}{247}$

Out of all given fractions, three fractions are proper fractions, three fractions are improper fractions

and two are mixed fractions.