Question

1. The decimal 0.55 when expressed as a fraction in the simplest form is

a= 5/11, b= 11/20, c=55/100, d=11/50​

Answer 1

Answer:

Explanation:

As the denominator (i.e. 20) in 11/20 has only 2 and 5 as prime factors, 20=2xx2xx5, we can easily convert denominator as a power of 10, by multiplying it by 5.

Hence 11/20=(11xx5)/(20xx5)

= 55/100=(50+5)/100

= 50/100+5/100

= 5/10+5/100 i.e. 5 one-tenths and 5 one-hundredths

This is nothing but 0.55

Answer 2

Given :   0.55

To Find :  Equivalent fraction in the simplest form

Solution:

fraction in the simplest form   is of form

Numerator / Denominator

where Numerator and Denominators are integers and their HCF is 1

Numerator and denominator does not have any common prime factor

0.55  =  55/100

55 = 5 * 11

100 =2 * 2 * 5 * 5  

0.55  = ( 5 * 11)/(2 * 2 * 5 * 5)

=> 0.55 = 11/(2 * 2 * 5)

no common prime factor in numerator and denominator

=> 0.55 = 11/20

Hence correct option is  option b)  11/20

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