which of the following is a reducible fraction 79/26 ,41/17, 105/112
Answers
c. 105/112
because , this is only fraction in which non-prime numbers are involved and divisible by 7.
Answer :
105/112 is a reducible fraction .
Explanation :
A fraction which can be simplified into smaller fraction is called reducible fraction . This could happen if both numerators and denominators are non co-prime numbers . For example : 105 / 112 can be simplified as : 15/16 when divided by 7 .
The factor can be judged as a reducible fraction if the common factor of both numerator and denominator is a whole number . For example : Here in 105/112 , 7 i.e. a whole number is the common factor of 105 and 112 .
A fraction which cannot be reduced further is called irreducible fraction. In this fraction , numerator and denominator are co - prime numbers having the highest common factor as 1 .
For example : in 79/26 , 79 and 26 are co - prime number and thus this fraction is irreducible fraction .