Question

Out of the following which are proper fractional numbers?
(i)3/2
(ii)2/5
(iii)1/7
(iv)8/3

Answer 1

Answer:

2/5  &  1/7  are proper fractional numbers

Step-by-step explanation:

proper fractional numbers :

A fraction where the numerator (the top number) is less than the denominator (the bottom number) is called proper fractional number.

hence 2/5  &  1/7  are proper fractional numbers

as 2 < 5      & 1 < 7

3/2 & 8/3 are not proper fractional numbers

as 3 > 2   & 8 > 3

Answer 2

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CONCEPT TO BE IMPLEMENTED

FRACTION

Any fraction can be written as

$\displaystyle \sf{Fraction \: = \: \: \frac{ Numerator }{Denominator} }$

PROPER FRACTION

A fraction is said to be proper fraction if

Numerator < Denominator

IMPROPER FRACTION

A fraction is said to be improper fraction if

Numerator > Denominator

TO DETERMINE

To identify the proper fractions from given fractions

$\displaystyle \sf{(i) \: \: \frac{3}{2} \: }$

$\displaystyle \sf{ (ii) \: \: \frac{2}{5} \: }$

$\displaystyle \sf{(iii) \: \: \frac{1}{7} \: }$

$\displaystyle \sf{ (iv) \: \: \frac{8}{3} \: }$

CALCULATION

CHECKING FOR OPTION (i)

$\displaystyle \sf{ For \: the \: fraction \: \: (i) \: \: \frac{3}{2} \: }$

Numerator = 3

Denominator = 2

So, Numerator > Denominator

Hence the fraction is improper fraction

CHECKING FOR OPTION (ii)

$\displaystyle \sf{ For \: the \: fraction \: \: (i) \: \: \frac{2}{5} \: }$

Numerator = 2

Denominator = 5

So, Numerator < Denominator

Hence the fraction is proper fraction

CHECKING FOR OPTION (iii)

$\displaystyle \sf{ For \: the \: fraction \: \: (iii) \: \: \frac{1}{7} \: }$

Numerator = 3

Denominator = 2

So, Numerator < Denominator

Hence the fraction is proper fraction

CHECKING FOR OPTION (iv)

$\displaystyle \sf{ For \: the \: fraction \: \: (iv) \: \: \frac{8}{3} \: }$

Numerator = 8

Denominator = 3

So, Numerator > Denominator

Hence the fraction is improper fraction

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